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Fold It Again: Paper Strip Equivalent Fractions worksheet preview

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Fold It Again: Paper Strip Equivalent Fractions

Grade 4 equivalent fractions with folded paper strips: see why multiplying the top and bottom by the same number keeps the amount the same.

Grade 4MathInteractive · Printable

Aligned to4.NF.A.1

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 12 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 4
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students use folded fraction strips to show that a fraction equals (n × a)/(n × b).
  • Students multiply the top and bottom of a fraction by the same number to write an equivalent fraction.
  • Students explain why adding the same number to the top and bottom does not make an equivalent fraction.

How to use

Give each student a paper strip to fold during the first section. Ask them to tell how the number of parts and the size of each part change with every fold.

Curriculum

Common Core standard covered

4.NF.A.1

Explain why multiplying the top and bottom of a fraction by the same number gives an equivalent fraction.

Preview

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Name Date

Fold It Again: Paper Strip Equivalent Fractions

Fold paper strips to see why equivalent fractions are equal.

Fold and see

Each paper strip is 1 whole. When you fold it, every part is cut into the same number of equal pieces.

1.
Leo shades 2/3 of a paper strip.Then he folds the strip in half, so each third is cut into 2 equal pieces.

Now the strip has   equal parts, and   of the parts are shaded.

2.
Mira shades 3/4 of a strip. Then she folds it so each fourth is cut into 3 equal pieces.

3/4 = (3 × 3)/(4 × 3) =  / 

3.
Leo's strip showed 2/3 before he folded it in half and 4/6 after. Why is 2/3 of the strip the same amount as 4/6 of the strip?
  • A. Folding adds 2 to the top number and 2 to the bottom number.
  • B. Folding makes each part 2 times bigger.
  • C. Each part is cut into 2 pieces, so there are 2 times as many shaded parts and 2 times as many parts in all, but the shaded paper does not change.
  • D. The number of shaded parts stays the same after folding.

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