4th Grade Comparing Fractions Worksheet (PDF)

4th Grade math worksheet: Comparing Fractions – Maths PDF

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This compare fractions worksheet for 4th Grade covers comparing fractions (Common Core 4.NF.A.2), with a free PDF to print.

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

Compare fractions worksheet: exercises 1 to 10

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 \(\frac{2}{5}\).

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 – Benchmark showdown

Use the benchmark \(\frac{1}{2}\) to decide which is greater: \(\frac{4}{10}\) or \(\frac{5}{8}\).

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) \(\frac{2}{5}\).

Exercises 11 and up

Exercise 11 – Number line dots

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

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: \(\frac{2}{3}\), \(\frac{5}{6}\), \(\frac{1}{2}\), \(\frac{7}{12}\).

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?

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?

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.

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?

Key facts behind this compare fractions worksheet

Key facts

Compare fractions only when they are parts of the same whole.
Same denominator: compare numerators. Same numerator: compare denominators and the smaller denominator is greater.
A common denominator turns a hard comparison into a numerator comparison, such as 8/12 < 9/12.
Benchmark 1/2: a fraction is less than 1/2 when its numerator is less than half the denominator.
Record a comparison with >, < or = and check it on a number line.

How to use this compare fractions worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

All Grade 4 chapters: Grade 4 math.

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