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Equivalent and comparing fractions

Fractions that are equal, whole numbers written as fractions, and comparing fractions with the same top or bottom number.

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

How to help

Same bottom number: the bigger top is more. Same top number: a bigger bottom means smaller pieces, so less. Equal fractions cover the same amount of the same whole.

Watch for: Thinking 1/8 is more than 1/4 because 8 is more than 4. Comparing fractions of wholes that aren't the same size. Thinking 6/6 is more than 1.

At home: Fold two same-sized paper strips, one into halves and one into fourths, and hold them together: 1/2 and 2/4 line up.

Sample sheet and answer key

Luna's Space Adventure

Grade 3 · Equivalent and comparing fractions · 3.NF.A.3

NameDate

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

Same amount

Write the equal fraction.

24=13=23=23=

Whole numbers as fractions

How many parts make it?

3 =2 =3 =1 =

Compare

Same bottom: compare tops. Same top: the bigger bottom means smaller pieces.

13143414262436562628132336341434

Same size, different pieces

Both show the same amount. Write the second fraction.

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 3NFA3-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 3 · Equivalent and comparing fractions · 3.NF.A.3

Answer key

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

Same amount

Write the equal fraction.

24=61213=3923=4623=69

Whole numbers as fractions

How many parts make it?

3 =932 =423 =621 =22

Compare

Same bottom: compare tops. Same top: the bigger bottom means smaller pieces.

13>1434>1426<2436<5626>2813<2336<3414<34

Same size, different pieces

Both show the same amount. Write the second fraction.

13
26
23
46
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 3NFA3-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.

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Standard

Common Core 3.NF.A.3 · Find equivalent fractions and compare fractions by thinking about their size.

Also: Maryland 2025 3.NOS.F.13 · Texas TEKS 3.3F · Florida B.E.S.T. MA.3.FR.2.1 · Virginia SOL 3.NS.3

Drill sheets for more practice

More grade 3 sheets: fractions