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CCSS 5.NF.1 Worksheets

CCSS 5.NF.1 (Common Core, 5th Grade): "Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)." The worksheets below practice this standard. Each one is a free printable PDF with an answer key, comes in multiple versions, and can also be assigned digitally - no login or account needed.

Number and Operations—Fractions Use equivalent fractions as a strategy to add and subtract fractions. 1Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

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CCSS 5.NF.1 Worksheets - Combining Amounts worksheet

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Combining Amounts

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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.

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CCSS 5.NF.1 Worksheets - Adding and Subtracting Fractions Visually (Different Denominators) worksheet

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Adding and Subtracting Fractions Visually (Different Denominators)

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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.

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CCSS 5.NF.1 Worksheets - Adding & Subtracting Fractions (Different Denominator) worksheet

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Adding & Subtracting Fractions (Different Denominator)

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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.

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CCSS 5.NF.1 Worksheets - Different Denominator worksheet

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Different Denominator

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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.

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CCSS 5.NF.1 Worksheets - Adding Fractions on a Number Line worksheet

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Adding Fractions on a Number Line

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Add fractions using a number line.
Rename fractions with a common denominator using a model.
Count fractional parts to find a sum.

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CCSS 5.NF.1 Worksheets - Subtracting Fractions on a Number Line worksheet

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Subtracting Fractions on a Number Line

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Subtract fractions using a number line.
Rename fractions with a common denominator using a model.
Count backward along a number line to find a difference.

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CCSS 5.NF.1 Worksheets - Adding Fractions with Fraction Strips worksheet

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Adding Fractions with Fraction Strips

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Add fractions using fraction strips.
Rename fractions with a common denominator using a model.
Compare fractional lengths drawn on equal wholes.

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CCSS 5.NF.1 Worksheets - Subtracting Fractions with Fraction Strips worksheet

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Subtracting Fractions with Fraction Strips

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Subtract fractions using fraction strips.
Rename fractions with a common denominator using a model.
Compare fractional lengths drawn on equal wholes.

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CCSS 5.NF.1 Worksheets - Adding Mixed Numbers with a Model worksheet

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Adding Mixed Numbers with a Model

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Add mixed numbers using a bar model.
Regroup a fraction sum greater than one whole.
Rename fractions with a common denominator using a model.

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CCSS 5.NF.1 Worksheets - Adding Fractions with a Tape Diagram worksheet

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Adding Fractions with a Tape Diagram

Add fractions using a tape diagram.
Rename fractions with a common denominator using a model.
Solve a word problem about parts of one whole.

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CCSS 5.NF.1 Worksheets - Subtracting Fractions with a Tape Diagram worksheet

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Subtracting Fractions with a Tape Diagram

Subtract fractions using a tape diagram.
Rename fractions with a common denominator using a model.
Solve a word problem about part of a part.

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CCSS 5.NF.1 Worksheets - Adding Mixed Numbers with a Number Line worksheet

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Adding Mixed Numbers with a Number Line

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Add mixed numbers by counting on.
Choose useful jumps on an open number line.
Use a number line marked in the common denominator.

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CCSS 5.NF.1 Worksheets - Subtracting Mixed Numbers with a Number Line worksheet

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Subtracting Mixed Numbers with a Number Line

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Subtract mixed numbers by counting back.
Choose useful jumps on an open number line.
Use a number line marked in the common denominator.

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CCSS 5.NF.1 Worksheets - Adding Mixed Numbers with Shape Models worksheet

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Adding Mixed Numbers with Shape Models

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Find the sum of shaded parts shown in two models.
Rename halves and thirds as sixths using a picture.
Add mixed numbers with unlike denominators.

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CCSS 5.NF.1 Worksheets - Subtracting Mixed Numbers with Shape Models worksheet

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Subtracting Mixed Numbers with Shape Models

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Find the difference of shaded parts shown in two models.
Regroup a whole into parts to subtract.
Subtract mixed numbers with unlike denominators.

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CCSS 5.NF.1 Worksheets - Adding and Subtracting Fractions (Standard Algorithm) worksheet

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Adding and Subtracting Fractions (Standard Algorithm)

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Add fractions with unlike denominators.
Subtract fractions with unlike denominators.
Write a fraction answer in lowest terms.

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CCSS 5.NF.1 Worksheets - Adding and Subtracting Mixed Numbers (Standard Algorithm) worksheet

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Adding and Subtracting Mixed Numbers (Standard Algorithm)

5nf1

Add mixed numbers with unlike denominators.
Subtract mixed numbers with unlike denominators.
Regroup when the fraction parts do not fit.

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