Mathness!Math Worksheets Open the grade 4 sheets

Equivalent fractions

Why two fractions can be equal: the same whole cut into more, smaller pieces. Your child uses pictures, then multiplies or divides the top and bottom by the same number.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

Cut each piece into 3 and there are 3 times as many pieces, and 3 times as many shaded: 1/2 = 3/6. Multiply or divide the top and bottom by the same number.

Watch for: Multiplying only the top or only the bottom. Adding the same number to the top and bottom: 1/2 is not 2/3. Counting the shaded pieces before the new cuts instead of after.

At home: Cut a sandwich in half, then cut each half into 2 or 3. Count the pieces to see 1/2 = 2/4 = 3/6.

Sample sheet and answer key

Luna's Space Adventure

Grade 4 · Equivalent fractions · 4.NF.A.1

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Cut the pieces smaller

The same amount, cut into more pieces. Write both fractions.

Multiply top and bottom

Multiply the numerator and denominator by the same number.

35=45=25=45=23=36=

Go the other way

Divide top and bottom by the same number.

24=39=36=
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4NFA1-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 4 · Equivalent fractions · 4.NF.A.1

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Cut the pieces smaller

The same amount, cut into more pieces. Write both fractions.

12
36
24
612

Multiply top and bottom

Multiply the numerator and denominator by the same number.

35=61045=121525=82045=162023=101536=1224

Go the other way

Divide top and bottom by the same number.

24=1239=1336=12
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 4NFA1-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

Save to Pinterest

Standard

Common Core 4.NF.A.1 · Explain why two fractions are equal, using pictures and models.

Also: Maryland 2025 4.NOS.D.9 · Texas TEKS 4.3C · Florida B.E.S.T. MA.4.FR.1.3 · Virginia SOL 4.NS.3

Drill sheets for more practice

More grade 4 sheets: fractions