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Garden Bed Splits: Building Equivalent Fractions worksheet preview

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Garden Bed Splits: Building Equivalent Fractions

Grade 4 equivalent fractions practice: split garden beds into smaller equal parts to see why multiplying top and bottom by the same number works.

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 fraction bars, circles, and number lines to show that a/b equals (n × a)/(n × b).
  • Students generate equivalent fractions by multiplying the numerator and denominator by the same number.
  • Students explain how the number and size of the parts change while the fraction stays the same.

How to use

Use after students can name fractions from models. Let them draw lines on the bars to split each part before they write the new fraction.

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

Garden Bed Splits: Building Equivalent Fractions

Split garden beds into smaller parts to find fractions that are equal.

Split the garden beds

All the beds or paths in each problem are the same size. Look at how the parts are split. Then fill in the blanks.

1.
A round flower bed has 6 equal sections. Daisies grow in 5 of them.
The gardener splits every section in half.

5/6 = (5 ×  ) / (6 ×  ) =  /12

2.
Jamal's bean bed has 2 equal parts. Beans grow in 1 part.
He cuts each part into smaller equal parts.

Each part was cut into   smaller parts.
1/2 =  /10

3.
Look at Jamal's bed in problem 2. How does each new small part compare to one of the 2 parts he started with?
  • A. Each small part is 5 times as big as a first part.
  • B. Each small part is the same size as a first part.
  • C. Each small part is 1/5 the size of a first part.
  • D. Each small part is 1/10 the size of a first part.

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