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Mosaic Tiles: Why Equivalent Fractions Work worksheet preview

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Mosaic Tiles: Why Equivalent Fractions Work

Grade 4 mosaic-themed practice showing why multiplying the numerator and denominator by the same number makes an equivalent fraction.

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
  • 13 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 fraction bars and circles to show why a/b = (n × a)/(n × b).
  • Students make equivalent fractions by multiplying the numerator and denominator by the same number.
  • Students explain why the size of the shaded part stays the same when the parts get smaller.

How to use

Use after students have folded or cut paper strips into equal parts. Have them shade the tile strips on the first page before writing the matching fractions.

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

Mosaic Tiles: Why Equivalent Fractions Work

Cut each tile into smaller equal pieces to make an equivalent fraction.

Cut the tiles

Both strips or circles in each problem are the same size. Look at how the parts were cut, then fill in the blanks.

1.
Jada's tile strip has 3 equal tiles. 2 of them are blue.
She cuts every tile into 2 equal pieces.

2/3 =  /6

2.
Omar's tile strip has 4 equal tiles. 3 of them are green.
He cuts every tile into 3 equal pieces.

3/4 = (3 × 3)/(4 × 3) =  / 

3.
A round mosaic has 5 equal parts. 1 part is red.
Each part is cut into 2 equal pieces.

1/5 =  /10

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