4th Grade Comparing Fractions Worksheet (PDF)

4th Grade math worksheet: Comparing Fractions – Maths PDF


This worksheet has 20 problems on comparing fractions with different numerators and denominators. Problems use common denominators, common numerators and the benchmark one half, and ask for answers with >, < or = (Common Core 4.NF.A.2).

Grade 4 · Common Core State Standards: 4.NF.A.2

Exercise 1 – Same denominator

Compare \(\frac{3}{8}\) and \(\frac{5}{8}\) using >, < or =.

Exercise 2 – Tenths

Compare \(\frac{7}{10}\) and \(\frac{4}{10}\) using >, < or =.

Exercise 3 – Same numerator

Compare \(\frac{2}{3}\) and \(\frac{2}{5}\).

2/32/5
Strips for two thirds and two fifths.

Exercise 4 – Unit fractions

Compare \(\frac{1}{4}\) and \(\frac{1}{6}\).

Exercise 5 – Fourths and eighths

Compare \(\frac{3}{4}\) and \(\frac{3}{8}\).

Exercise 6 – Half equals

Compare \(\frac{1}{2}\) and \(\frac{3}{6}\).

Exercise 7 – Twelfths

Compare \(\frac{2}{3}\) and \(\frac{3}{4}\) using a common denominator.

Exercise 8 – Sixths and fourths

Compare \(\frac{5}{6}\) and \(\frac{3}{4}\).

Exercise 9 – Fifths and tenths

Compare \(\frac{2}{5}\) and \(\frac{3}{10}\).

Exercise 10 – Compare to one half

Compare each fraction to \(\frac{1}{2}\) using >, < or =: (a) \(\frac{3}{8}\) (b) \(\frac{4}{6}\) (c) \(\frac{5}{10}\) (d) \(\frac{2}{5}\).

Exercise 11 – Number line dots

The number line is split into eighths. Compare \(\frac{5}{8}\) and \(\frac{3}{4}\).

01/82/83/84/85/86/87/815/83/4
Dots at \(\frac{5}{8}\) and \(\frac{3}{4}\).

Exercise 12 – Order eighths

Write these fractions from least to greatest: \(\frac{4}{8}\), \(\frac{2}{8}\), \(\frac{6}{8}\), \(\frac{1}{8}\).

Exercise 13 – Order twelfths

Write these fractions from least to greatest: \(\frac{2}{3}\), \(\frac{5}{6}\), \(\frac{1}{2}\), \(\frac{7}{12}\).

2/35/61/27/12
Each fraction written in twelfths.

Exercise 14 – Fifths and twelfths

Compare \(\frac{3}{5}\) and \(\frac{7}{12}\).

Exercise 15 – Running a mile

Maya ran \(\frac{3}{4}\) mile. Jamal ran \(\frac{5}{8}\) mile. Who ran farther?

MayaJamal
Distances shown as strips (each strip is one mile).

Exercise 16 – Water bottles

Aisha filled \(\frac{3}{5}\) of her water bottle. Diego filled \(\frac{5}{8}\) of his identical bottle. Who has more water?

AishaDiego
The two bottles drawn as strips.

Exercise 17 – Fruit stand

Noah bought \(\frac{1}{2}\) pound of apples, \(\frac{3}{8}\) pound of pears and \(\frac{5}{8}\) pound of peaches. List the fruits from lightest to heaviest.

Exercise 18 – Three runners

In Little League practice, three players ran \(\frac{2}{3}\) mile, \(\frac{3}{4}\) mile and \(\frac{5}{6}\) mile. Order the distances from least to greatest.

2/33/45/6
Distances written in twelfths.

Exercise 19 – Mei's claim

Mei says \(\frac{1}{8}\) is greater than \(\frac{1}{4}\) because 8 is greater than 4. Is she right? Explain.

Exercise 20 – Sofia's money

Sofia spent \(\frac{3}{10}\) of her money on a book and \(\frac{2}{5}\) on lunch. (a) Which cost more? (b) Together, did she spend more than, less than or exactly half of her money?

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All Grade 4 chapters: Grade 4 math.

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