Introduction to Fractions
Link
About these worksheets
These worksheets introduce the concept of fractions from the ground up. Activities include naming fractions from words and pictures, writing fractions from visual models, identifying correct fraction representations, partitioning shapes into equal parts, determining whether fractions equal zero, one-half, or one whole, examining fraction values between whole numbers, comparing relative fraction sizes, finding reciprocals, and expressing fractions in words and numbers. Resources span first through fifth grade.
1g3

- Match a written fraction name (like “three fourths”) to the correct fraction.
- Use the denominator to tell how many equal parts the whole is split into.
- Use the numerator to tell how many parts are being counted.
2g3

- Read a fraction and say its name using the right word for the denominator (like halves, thirds, or fourths).
- Match a written fraction name to the correct fraction.
- Use the denominator to tell how many equal parts the whole is split into.
- Use the numerator to tell how many parts are being counted.
3nf1

- Look at a picture model and write the fraction it shows.
- Identify the numerator and denominator in a fraction.
- Match a shaded part of a whole to the correct fraction notation.
3nf1

- Match a written fraction to a picture that shows the same amount shaded.
- Tell how many equal parts the whole is split into and how many parts are shaded.
- Notice when pictures show different-sized parts and choose only models with equal parts.
3g2

- Split a shape into equal-size parts and explain that each part is the same area.
- Spot when parts are not equal and know that they do not make fair fractions.
3g2

- Decide whether a shape has been split into equal-size parts.
- Tell the difference between equal partitions and uneven partitions in pictures.
- Connect a partitioned shape to the idea of a fraction as equal parts of one whole.
- Explain why a partition is not correct when the pieces are different sizes.
3nf3d

- Decide whether a fraction is equal to 0, 1/2, or 1.
- Use the numerator and denominator to tell when a fraction means none, half, or a whole.
5nf3

- Decide which two whole numbers a fraction falls between.
- Convert an improper fraction to a mixed number fraction to identify the value with whole numbers.

- Understand that the size a fraction represents, depends on the items it is comparing.

- Explain a fraction as “part of a whole set,” using the numerator as the count shown and the denominator as the total.

- Find the reciprocal of a fraction by swapping the numerator and denominator.
- Use reciprocals to make a multiplication equation equal 1.
- Recognize that a number and its reciprocal are multiplicative inverses.

- Find the missing fraction that completes a whole when one part is given.
- Add fractions with the same denominator to make a total of 1.

- Write the shaded part of a picture as a fraction using a numerator and denominator.
- Count equal parts in a shape to figure out the denominator.
- Count shaded parts to figure out the numerator.
- Match a visual fraction model to the correct numeric fraction notation.

- Read a fraction and say it using the correct words.
- Write a fraction in word form using the right spelling for the denominator (like thirds, fourths, fifths).
- Match the numerator to the correct counting word (one, two, three, etc.) when writing fractions.
- Use singular and plural fraction words correctly (like one half vs. two thirds).
Fraction Location on a Numberline
Link
About these worksheets
Students practice placing fractions on a number line, a key skill for understanding fraction size and order. Worksheets cover locating fractions between 0 and 1, partitioning and labeling number lines, placing fractions between whole numbers, and working with positive and negative fractions on a number line. Aligned with third through sixth grade standards.
3nf2a

- Find where a fraction belongs between 0 and 1 on a number line.
- Use the denominator to see how many equal parts the whole is split into on the number line.
- Use the numerator to count how many parts to move from 0 to reach the fraction.
- Use benchmarks like 0, 1/2, and 1 to decide if a fraction is closer to the start, middle, or end.
3nf2b

- Find where a fraction belongs on a number line between 0 and 1.
- Use the denominator to see how many equal parts the whole is split into on the number line.
- Use the numerator to count how many parts from 0 to reach the fraction’s point.
- Recognize benchmark points like 0, 1/2, and 1 to help place and compare fractions.
3nf2a

- Break a whole number line segment into equal parts based on the denominator.
- Use the tick marks to label unit fractions like 1/4 or 1/6.
- Match the numerator and denominator to the correct point on a number line.
6ns6c

- Practice placing positive and negative fractions in the right spot on a number line.
- Learn to tell whether a fraction belongs to the left or right of 0.
- Use the spacing between tick marks to match a fraction to its correct location.
3nf3c

- Find where a fraction belongs between two whole numbers on a number line.
- Use the denominator to split a number line segment into equal parts.
- Match a fraction to the correct tick mark by counting equal jumps from 0 or from a whole number.
- Explain why a fraction is closer to 0, 1, or another whole number based on its size.

- Practice finding where an improper fraction belongs on a number line.
- Break an improper fraction into whole numbers and a leftover fraction to see which two whole numbers it falls between.
- Use the denominator to count equal parts between whole numbers on the number line.
Adding & Subtracting Fractions
Link
About these worksheets
These worksheets provide comprehensive practice with fraction addition and subtraction. Topics include adding and subtracting with same and different denominators, working with mixed numbers and improper fractions, using visual models, regrouping when subtracting mixed numbers, adding tenths and hundredths, and solving fraction word problems. Resources span fourth through fifth grade and beyond.
4nf3c

- Add mixed numbers by combining the whole-number parts and the fraction parts.
- Use pictures or fraction models to see what the fractions add up to.
4nf3c

- Subtract mixed fractions to find the difference between two amounts.
- Use fraction pictures to see how the wholes and parts change when you subtract.
4nf3c

- Add mixed numbers when the fractions have the same denominator.
- Subtract mixed numbers when the fractions have the same denominator.
- Regroup when subtracting by borrowing 1 whole and turning it into fractional parts.
4nf3c

- Add improper fractions when the bottom number is the same.
- Subtract improper fractions when the bottom number is the same.
- Rename an improper fraction as a mixed number after you add or subtract.
- Simplify the final answer when the fraction can be reduced.
4nf3c

- Subtract mixed numbers when the fraction part is too small and you need to borrow 1 whole to keep subtracting.
4nf3d

- Add fractions that already have the same denominator.
- Subtract fractions that already have the same denominator.
- Read a word problem and decide whether to add or subtract the fractions.
4nf5

- Add a fraction with tenths to a fraction with hundredths and write the correct sum.
4nf3b

- Add two or more fractions that have the same denominator.
- Use fraction pictures to see how parts combine to make a total.
- Match a visual model to the correct fraction value.
4nf3a

- Add two fractions by combining their parts to make a total amount.
- Use pictures or fraction models to see what each fraction means before adding.
4nf3c

- Add two fractions to find the total amount.
- Add fractions with the same denominator.
- Match a fraction sum to the correct picture model.
5nf1

- Add fractions that have different denominators by rewriting them as equivalent fractions with a common denominator.
- Subtract fractions that have different denominators by using a common denominator first.
- Use visual fraction models to see how two unlike fractions combine or how much is left after subtracting.
5nf1

- Add fractions that have different denominators.
- Subtract fractions that have different denominators.
- Find a common denominator so the fractions can be combined.
- Rewrite fractions as equivalent fractions and simplify the final answer when possible.
5nf2

- Subtract fractions that have different denominators by finding a common denominator first.
- Read word problems and decide whether to add or subtract fractions to answer the question.
- Simplify answers when possible and write them as a fraction or mixed number.
5nf1

- Add more than 2 fractions to find a total amount.
- Add fractions with the same denominator by combining the numerators.
- Add fractions with different denominators by rewriting them with a common denominator first.

- Add fractions that already have the same denominator.
- Subtract fractions that already have the same denominator.
- Keep the denominator the same and add or subtract only the numerators.
- Simplify answers when the fraction can be reduced.

- Add fractions that have different denominators by rewriting them as equivalent fractions with a common denominator.
- Subtract fractions that have different denominators by finding a common denominator first.
- Use the least common multiple to choose an efficient common denominator.

- Add unit fractions that already have the same denominator.
Multiplying & Dividing Fractions
Link
About these worksheets
Students build fluency with fraction multiplication and division through a wide range of activities. Worksheets cover multiplying fractions by whole numbers and by other fractions, using visual models and number lines, estimating fraction products, cross-cancelling, dividing unit fractions, interpreting fractions as division, distributing fractional amounts, and solving word problems. Topics span fourth through sixth grade Common Core standards.
4nf4a

- Understand that multiplying a unit fraction means taking that fraction of a whole number.
- Use a number line to show equal jumps of a unit fraction and find the total distance.
4nf4b

- Multiply a fraction by a whole number to find a product.
- Use a picture model to show repeated groups of the same fraction.
4nf4a

- Multiply a unit fraction by a whole number to find the product.
- Use repeated addition to understand what it means to multiply a fraction by a whole number.
- Explain the result as “that many copies of the fraction” (for example, 3 × 1/4 means three one-fourths).
4nf4b

- Multiply a fraction by a whole number to find the total amount.
- Use pictures or models to show what it means to take a fraction several times.
- Connect repeated addition of the same fraction to multiplication.
4nf4a

- Multiply a fraction by a whole number to find the total amount in several equal groups.
- Use repeated addition to understand what it means to multiply a fraction by a whole number.
4nf4c

- Figure out what it means to take a fraction of a whole number in a story problem.
- Multiply a fraction by a whole number to find how much you have in all.
5nf5b

- Estimate the product of two fractions without doing exact multiplication.
- Round fractions to easy benchmark fractions like 0, 1/2, 1, or whole numbers to make mental math quicker.
- Use compatible numbers to get a close estimate for a fraction multiplication problem.
- Decide which estimate makes the most sense by comparing it to the answer choices.
5nf4a

- Multiply two fractions to find the product.
- Convert between mixed numbers and improper fractions when needed to multiply.
5nf4b

- Multiply two fractions to find the product.
- Use shaded area models or grids to show what it means to multiply fractions.
5nf4a

- Multiply a fraction by a whole number to find the total amount.
- Use a number line to show equal jumps of a fraction and count how many jumps you make.
5nf5a

- Decide whether a fraction product is greater than, less than, or equal to one of the factors.
- Use what you know about multiplying by a fraction less than 1 or greater than 1 to predict how the product will change.
5nf6

- Multiply two fractions to find a product.
- Multiply a fraction by a whole number.
- Simplify products to a fraction in lowest terms or a mixed number.
- Solve word problems where multiplying fractions gives the answer.
5nf6

- Multiply two fractions to find a product.
- Cross-cancel common factors between a numerator and the other fraction’s denominator before multiplying.
- Use factor pairs to spot numbers that can be reduced.
5nf7a

- Solve division problems where a unit fraction is divided by a whole number (like 1/3 ÷ 6).
5nf7a

- Divide a unit fraction by a whole number to find how much each group gets.
- Use a picture model to show how a fraction is split into equal parts.
- Connect the visual model to the rule that dividing by a whole number makes the denominator larger.
5nf7a

- Divide a unit fraction by a whole number to find an equal share.
- Use the idea that dividing by a whole number makes the fraction smaller.
- Rewrite division of fractions as multiplication by the reciprocal to solve.
5nf7b

- Understand what it means to divide by a unit fraction using a picture or model.
- Use visual models to see how many 1/b-sized parts fit into a given fraction or whole amount.
- Connect the visual model to the idea that dividing by a unit fraction makes the answer larger.
5nf3

- Practice reading a fraction as a division problem (numerator divided by denominator).
5nf7b

- Divide a whole number by a unit fraction like 1/2 or 1/5.
- Use the idea that dividing by a unit fraction is the same as multiplying by its reciprocal.
- Find quotients that are whole numbers and understand why the answer gets larger when you divide by a fraction less than 1.
5nf7c

- Solve word problems where you divide a whole number by a unit fraction like 1/2 or 1/4.
- Solve word problems where you divide a unit fraction by a whole number to find how much one share is.
5nf7c

- Divide a whole number by a unit fraction like 1/2 or 1/5.
- Use the idea that dividing by a unit fraction is the same as multiplying by its reciprocal.
5md2

- Use fraction addition to recombine the parts and confirm the total stays the same.
- Rewrite fractions into equivalent fractions so they can be added with a common denominator.
- Simplify the final fraction or mixed number when possible.
5md2

- Read a line plot and tell how many data points are at each fraction measurement.
- Add up fractional measurements from a line plot to find the total amount.
- Split the total from a line plot into equal shares and figure out how much each share gets.
- Use the data on a line plot to answer questions about how the measurements are distributed.
5md2

- Split a group of objects into equal parts and describe each part as a fraction of the whole.
- Combine fractional parts to make a whole or a larger fraction when you regroup the pieces.
- Use pictures or models to show how the same total can be redistributed into different fractional groups.
5nf3

- Use the numbers in a word problem to decide what goes in the numerator and denominator.
- Identify which two whole numbers a fraction lies between.
5nf7a

- Divide a fraction by a whole number to find how much each equal share is.
- Use a number line to show the division by splitting a fraction-length segment into equal parts.
5nf7a

- Divide a unit fraction (like 1/3 or 1/8) by a whole number.
- Use a number line to show how a unit fraction is split into equal parts.
- Write the answer as a fraction and connect it to the number line model.
5nf7b

- Divide a whole number by a fraction to find how many fractional parts fit in the whole number.
- Use a number line to model division by making equal jumps of a fraction and counting the jumps.
5nf7b

- Divide a whole number by a unit fraction like 1/2 or 1/4.
- Use a number line to show equal jumps of a unit fraction and count how many jumps fit in the whole number.
- Explain the quotient as “how many 1/n parts are in this many wholes.”
6ns1

- Divide one fraction by another fraction.
- Use the reciprocal (flip the second fraction) and multiply to find the quotient.
- Convert between mixed numbers and improper fractions when needed to divide.
6ns1

- Use a number line to show division with fractions by making equal jumps.
- Figure out how many fractional steps fit into a given length on a number line.
- Solve fraction division problems by thinking about the reciprocal and what the quotient means.
About these worksheets
These worksheets develop fraction comparison skills using multiple strategies. Students compare fractions with same numerators or denominators, compare fractions with different denominators using common denominators, determine whether fractions are greater than, less than, or equal to one-half, order sets of fractions, and use visual models for comparison. Resources span third through fourth grade.
3nf3d

- Compare two fractions and decide which one is greater, less, or if they are equal.
- Fill in the missing fraction to make a comparison statement true.
- Use fraction models or number lines to compare fractions by their size.
- Compare fractions with different denominators by thinking about equivalent fractions or common denominators.
3nf1

- Match a shaded picture or model to the fraction it shows.
- Count equal parts to figure out the denominator and count shaded parts to figure out the numerator.
- Recognize the same fraction shown with different shapes or layouts (like bars, circles, or grids).
3nf3d

- Decide which of two fractions is greater, less, or if they are equal.
- Use fraction pictures or models to compare the size of two fractions.
- Identify the numeric value of a visual fraction model.
- Count equal parts to figure out the denominator and count shaded parts to figure out the numerator.
3nf3d

- Put a set of fractions in order from least to greatest.
- Compare two fractions to decide which one is larger or smaller.
- Use benchmark fractions like 0, 1/2, and 1 to judge fraction size.
3nf3d

- Compare two fractions when the denominators are the same by looking at which numerator is bigger.
- Compare two fractions when the numerators are the same by deciding which denominator makes bigger pieces.
- Use the symbols >, <, and = to show which fraction is larger, smaller, or if they are equal.

- Decide which of two fractions is greater, less, or if they are equal by looking at pictures or models.
4nf2

- Compare two fractions that have different denominators and decide which one is greater or less.
- Use equivalent fractions (common denominators) to make unlike fractions easier to compare.
4nf2

- Decide whether a fraction is less than, equal to, or greater than one half.
- Use the numerator and denominator to tell if a fraction is exactly one half (evenly divisible).
- Compare fractions to the benchmark fraction 1/2 without converting to decimals.
- Recognize equivalent fractions that are equal to 1/2 (like 2/4 or 5/10).
4nf3d

- Add and subtract fractions to find a sum or difference.
- Compare two fraction results to decide which is greater, less, or equal.
- Use common denominators or equivalent fractions to make comparisons easier.
4nf2

- Decide whether a shaded fraction is less than, equal to, or greater than one-half.
- Compare a fraction to 1/2 by thinking about how many equal parts make a whole.
- Use pictures like fraction models or number lines to judge a fraction’s size compared to 1/2.

- Put fractions in order from least to greatest.
- Compare fractions that have different denominators like 2, 3, 4, 5, and 10.
- Use equivalent fractions to make fair comparisons (like changing 1/2 into 5/10).
- Decide which fraction is bigger or smaller by thinking about the size of the pieces.
Equivalent Fractions
Link
About these worksheets
Students learn to create, identify, and work with equivalent fractions. Activities include using visual models and number lines to find equivalent fractions, reducing fractions to simplest form, finding missing numerators or denominators, recognizing equivalent fraction patterns, writing whole numbers as fractions, and simplifying mixed numbers with improper fraction parts. Aligned with third through fourth grade standards.
3nf3b

- Use shaded pictures to see what fraction of a whole is shown.
- Express an equivalent fraction in a picture model.
- Match equivalent fractions by noticing when the whole is split into more equal parts.
- Connect the numerator and denominator to how many parts are shaded and how many parts there are in all.
3nf3a

- Use a number line to see where a fraction lands between 0 and 1.
- Find an equivalent fraction by splitting the same number line into more equal parts.
- Match two fractions that point to the same spot on a number line.
4nf1

- Practice simplifying fractions to their smallest form.
- Find a common factor in the numerator and denominator and divide both by the same number.
- Use the greatest common factor to reduce a fraction in one step.
4nf1

- Find the missing numerator or denominator that makes two fractions equal.
- Use multiplication to scale a fraction up to an equivalent fraction.
- Use division to scale a fraction down to an equivalent fraction.
- Spot the pattern that the numerator and denominator must change by the same factor.
4nf1

- Find the missing number that makes two fractions equivalent.
- Use a pattern or rule to see how the numerator and denominator are being scaled.
- Multiply or divide the numerator and denominator by the same number to keep a fraction’s value the same.
- Explain why two different-looking fractions can represent the same amount.
4nf1

- Use shaded pictures to see what fraction of a whole is shown.
- Match two pictures that show the same amount shaded, even if they are split into different numbers of parts.
- Write an equivalent fraction by multiplying the numerator and denominator by the same number.
- Explain why two fractions are equal by pointing to the same shaded area in the models.
4nf4b

- [object Object]
- [object Object]
- [object Object]
- [object Object]
- [object Object]
- [object Object]
- Practice rewriting a whole number times a fraction as an equivalent expression with a unit fraction (e.g., 7 × 2/5 = 14 × 1/5)
- Multiply the whole number by the numerator to create the new whole number in the expression
- Understand that multiplying by a fraction like 2/5 is the same as multiplying by 2 and then by 1/5

- Turn mixed numbers with an extra-large fraction part into an equivalent mixed number with a proper fraction.
- Regroup by trading fractional parts for whole numbers when the numerator is at least the denominator.
- Rewrite a fraction as a whole number plus a leftover fraction (like 9/4 = 2 1/4).
3nf3c

- Recognize that any whole number can be written as a fraction with a denominator of 1.
- Write whole numbers in fraction form (like 5 as 5/1).

- Practice understanding that any whole number can be written as a fraction (like 6 = 6/1)
- Find the missing value in a fraction that makes it equal to a whole number
- Learn that dividing a number by itself equals 1 and dividing a number by 1 equals itself
3nf3c

- Practice counting shaded parts across multiple shapes to write an improper fraction
- Figure out the denominator by looking at how many equal pieces each shape is divided into
- Write fractions greater than one whole by counting all the shaded pieces as the numerator
Converting Fractions
Link
About these worksheets
These worksheets focus on converting between different fraction forms. Students practice converting fractions to whole numbers, changing improper fractions to mixed numbers, converting mixed numbers to improper fractions, and matching visual models to both forms. Aligned with third and fourth grade standards.
3nf3c

- Turn a fraction into a whole number when it represents a complete group (like 6/3 = 2).
- Turn a whole number into an equivalent fraction (like 7 = 63/9).
4nf3c

- Turn an improper fraction into a mixed number by finding how many whole groups it makes and what part is left over.
- Use division to connect the numerator and denominator when rewriting a fraction as a whole number plus a fraction.
- Write the remainder as the fractional part with the same denominator.
4nf3c

- Convert a mixed number into an improper fraction.
- Multiply the whole number by the denominator to find how many fractional parts are in the whole part.
- Add the extra numerator to get the new numerator while keeping the same denominator.

- Read fraction pictures and tell how many whole units and extra parts they show.
- Write a picture that shows more than 1 whole as an improper fraction.
- Explain how the numerator and denominator match the number of shaded parts and the size of each whole.
Comparing Fractions, Decimals & Percents
Link
About these worksheets
Students develop fluency in comparing and converting between fractions, decimals, and percents. Worksheets include numeric fraction comparison, finding equivalent values across all three forms, using visual models and number lines, and working with number wheels. These resources help students see fractions, decimals, and percents as different representations of the same quantity. Aligned with fourth grade and above.
4nf6

- Decide which of two fractions is greater, less, or if they are equal.
- Compare fractions even when they have different denominators.
- Use equivalent fractions or common denominators to make comparisons easier.
4nf6

- Convert between fractions, decimals, and percents that represent the same amount.
- Find a missing fraction, decimal, or percent by using equivalent values.
4nf6

- Read a shaded picture model and name the fraction that is shaded.
- Write the shaded amount as a decimal.
- Write the shaded amount as a percent.
- Convert between fraction, decimal, and percent to show the same amount in different ways.
4nf6

- Turn a fraction into a decimal by dividing the numerator by the denominator.
- Write decimals correctly using tenths and hundredths place value.
4nf6

- Turn a decimal into a fraction by using the place value to choose the denominator.
- Connect the decimal and fraction as two ways to show the same amount.

- Compare a fraction and a decimal to decide which one is larger.
- Use a number line to see where each value falls between 0 and 1 (or between whole numbers).
- Use benchmark values like 0, 0.5, and 1 to judge which number is closer to the right side of the number line.

- Read a shaded section on a number wheel and name it as a fraction of the whole.
- Read a shaded section on a number wheel and name it as a decimal value.

- Read a number wheel and figure out what fraction of the whole is shaded.
- Read a number wheel and figure out what decimal amount of the whole is shaded.