Equivalent Fractions and Comparing Fractions: Grade 4 Math Worksheet – PDF Download

Grade 4 Equivalent Fractions Worksheet: problems 1–5

Problem 1: Name the shaded parts

Write the fraction shaded in each bar. Then write a sentence that compares them using =, <, or >.

Problem 2: Fill in the numerator

Find the missing numerator.

1. \(\frac{1}{2}=\frac{?}{6}\)
2. \(\frac{1}{3}=\frac{?}{12}\)
3. \(\frac{3}{5}=\frac{?}{10}\)
4. \(\frac{3}{4}=\frac{?}{8}\)

Problem 3: Tenths and hundredths

1. Write \(\frac{2}{5}\) as an equivalent fraction with denominator 10.
2. Write \(\frac{7}{10}\) as an equivalent fraction with denominator 100.
3. Write \(\frac{1}{4}\) as an equivalent fraction with denominator 100.

Problem 4: Divide to get an equivalent fraction

1. Write \(\frac{6}{8}\) with a smaller numerator and denominator.
2. Write \(\frac{10}{12}\) with a smaller numerator and denominator.
3. Write \(\frac{4}{10}\) with a smaller numerator and denominator.
4. Write \(\frac{8}{12}\) with a smaller numerator and denominator.
5. Write \(\frac{50}{100}\) with a smaller numerator and denominator.

Problem 5: Area model of fifths

The model shows \(\frac{2}{5}\) shaded. Each fifth is cut into 3 equal pieces. Write an equivalent fraction with denominator \(15\).

Grade 4 Equivalent Fractions Worksheet: problems 6–10

Problem 6: Number line in tenths

The point is at six tenths. Write the same number as a fraction with denominator 5.

Problem 7: Equivalent or not

1. Are \(\frac{3}{4}\) and \(\frac{9}{12}\) equivalent? Write yes or no.
2. Are \(\frac{2}{5}\) and \(\frac{4}{15}\) equivalent? Write yes or no.
3. Are \(\frac{5}{6}\) and \(\frac{10}{12}\) equivalent? Write yes or no.
4. Are \(\frac{3}{8}\) and \(\frac{6}{12}\) equivalent? Write yes or no.

Problem 8: Find the missing denominator

Find the missing denominator.

1. \(\frac{2}{3}=\frac{8}{?}\)
2. \(\frac{3}{4}=\frac{9}{?}\)
3. \(\frac{5}{6}=\frac{20}{?}\)
4. \(\frac{3}{5}=\frac{12}{?}\)

Problem 9: Three names for one third

Write three fractions equivalent to \(\frac{1}{3}\) by multiplying the numerator and denominator by 2, 3, and 4.

Problem 10: Compare to one half

Use the dashed line marking one half to help with parts (a) and (b).

1. Compare \(\frac{3}{8}\) with \(\frac{1}{2}\) using <, >, or =.
2. Compare \(\frac{5}{6}\) with \(\frac{1}{2}\) using <, >, or =.
3. Compare \(\frac{4}{8}\) with \(\frac{1}{2}\) using <, >, or =.
4. Compare \(\frac{4}{10}\) with \(\frac{1}{2}\) using <, >, or =.
5. Compare \(\frac{7}{12}\) with \(\frac{1}{2}\) using <, >, or =.

Grade 4 Equivalent Fractions Worksheet: problems 11–15

Problem 11: Same denominator

1. Compare \(\frac{5}{8}\) and \(\frac{3}{8}\).
2. Compare \(\frac{7}{12}\) and \(\frac{9}{12}\).
3. Compare \(\frac{2}{6}\) and \(\frac{5}{6}\).

Problem 12: Same numerator

1. Compare \(\frac{3}{5}\) and \(\frac{3}{8}\).
2. Compare \(\frac{4}{6}\) and \(\frac{4}{10}\).
3. Compare \(\frac{2}{3}\) and \(\frac{2}{4}\).

Problem 13: Compare with bars

Use the bars to compare \(\frac{1}{2}\) and \(\frac{3}{5}\).

Problem 14: Common denominators

1. Rewrite with a common denominator, then compare \(\frac{3}{4}\) and \(\frac{5}{6}\).
2. Rewrite with a common denominator, then compare \(\frac{5}{8}\) and \(\frac{3}{4}\).
3. Rewrite with a common denominator, then compare \(\frac{7}{12}\) and \(\frac{2}{3}\).

Problem 15: Order the fractions

1. Order \(\frac{3}{4}\), \(\frac{1}{2}\), \(\frac{5}{8}\) from least to greatest.
2. Order \(\frac{2}{3}\), \(\frac{1}{6}\), \(\frac{5}{12}\) from least to greatest.

Grade 4 Equivalent Fractions Worksheet: problems 16–20

Problem 16: Points in tenths

Points A, B, and C are on the number line. (a) Write the fraction for each point. (b) Write point A as a fraction with denominator \(5\). (c) Which points are greater than \(\frac{1}{2}\)?

Problem 17: Compare using hundredths

Compare each pair by rewriting the first fraction with denominator 100.

1. Compare \(\frac{3}{10}\) and \(\frac{28}{100}\).
2. Compare \(\frac{4}{5}\) and \(\frac{75}{100}\).

Problem 18: Find the mistake

Liam says that \(\frac{1}{4}\) is greater than \(\frac{1}{3}\) because 4 is greater than 3. Explain his mistake and compare the fractions correctly.

Problem 19: Pizza night

Maya ate \(\frac{3}{6}\) of a pizza. Jamal ate \(\frac{1}{2}\) of an identical pizza. Who ate more?

Problem 20: Ribbon for crafts

Sofia has \(\frac{5}{8}\) yard of ribbon. Ethan has \(\frac{3}{4}\) yard of ribbon. Who has more ribbon?

Grade 4 Equivalent Fractions Worksheet: problems 21–24

Problem 21: Homework progress

Ethan finished \(\frac{5}{8}\) of his homework before dinner. Sofia finished \(\frac{7}{12}\) of hers. Who finished the greater fraction of homework?

Problem 22: Farmers market peaches

At the farmers market, Mei sold \(\frac{5}{12}\) of her peaches. Liam sold \(\frac{1}{2}\) of his peaches. Both started with the same number. Who sold the greater share?

Problem 23: Dimes and pennies

A dime is \(\frac{1}{10}\) of a dollar and a penny is \(\frac{1}{100}\) of a dollar. Noah has 7 dimes. Diego has 65 pennies. Who has more money?

Problem 24: Trail run

On a trail run, Jamal ran \(\frac{5}{8}\) of the trail, Priya ran \(\frac{2}{3}\) of it, and Sofia ran \(\frac{7}{12}\) of it. Order the runners from the shortest distance to the longest.

How to use this grade 4 equivalent fractions worksheet

Print this grade 4 equivalent fractions worksheet as a PDF, solve every problem on paper, then compare with the answer key.

See every chapter on the Grade 4 math page.