What is the most reliable method for ordering fractions?

Convert all fractions to equivalent fractions with a common denominator (ideally the LCD), then compare numerators directly.

Can I order fractions by converting to decimals?

Yes — divide each numerator by its denominator and compare. Carry enough decimal places to distinguish close values.

Sort by whole number part first. Only compare fractional parts when two mixed numbers share the same whole number.

Generate unlimited practice problems with a guaranteed-correct answer key.

Difficulty

Problems

Type

Max denominator

Fractions to order

Layout

Paper Size

Answer Key

Choose “Save as PDF” in the print dialog to download

Name:Date:Class:

1.Order from least to greatest:

2

,

\frac{7}{10}

,

\frac{1}{2}

,

\frac{1}{3}

2.Order from least to greatest:

\frac{3}{2}

,

\frac{19}{10}

,

2

,

\frac{17}{12}

3.Order from least to greatest:

\frac{3}{2}

,

1

,

\frac{1}{7}

,

\frac{3}{8}

4.Order from least to greatest:

\frac{7}{4}

,

\frac{4}{5}

,

2

,

\frac{3}{2}

5.Order from least to greatest:

\frac{1}{2}

,

\frac{7}{4}

,

\frac{9}{8}

,

\frac{2}{11}

6.Order from least to greatest:

\frac{1}{5}

,

\frac{2}{5}

,

\frac{5}{6}

,

2

7.Order from least to greatest:

\frac{18}{11}

,

\frac{1}{8}

,

1

,

\frac{9}{5}

8.Order from least to greatest:

\frac{11}{8}

,

\frac{5}{11}

,

\frac{3}{4}

,

\frac{13}{12}

9.Order from least to greatest:

\frac{8}{5}

,

\frac{1}{4}

,

\frac{1}{5}

,

\frac{5}{9}

10.Order from least to greatest:

\frac{1}{3}

,

2

,

\frac{6}{5}

,

1

11.Order from least to greatest:

\frac{19}{11}

,

\frac{1}{3}

,

\frac{8}{5}

,

\frac{9}{10}

12.Order from least to greatest:

\frac{21}{11}

,

\frac{5}{4}

,

\frac{5}{7}

,

\frac{3}{2}

13.Order from least to greatest:

\frac{5}{6}

,

\frac{4}{7}

,

\frac{7}{4}

,

1

14.Order from least to greatest:

\frac{1}{3}

,

\frac{3}{2}

,

\frac{6}{5}

,

\frac{7}{6}

15.Order from least to greatest:

\frac{1}{2}

,

\frac{3}{7}

,

\frac{13}{9}

,

\frac{1}{4}

16.Order from least to greatest:

1

,

\frac{3}{11}

,

\frac{23}{12}

,

\frac{6}{11}

17.Order from least to greatest:

1

,

\frac{1}{4}

,

\frac{1}{12}

,

\frac{9}{8}

18.Order from least to greatest:

\frac{7}{6}

,

\frac{1}{4}

,

\frac{9}{8}

,

\frac{4}{11}

19.Order from least to greatest:

\frac{9}{8}

,

\frac{6}{5}

,

2

,

\frac{11}{12}

20.Order from least to greatest:

\frac{2}{3}

,

\frac{17}{9}

,

2

,

\frac{9}{11}

worksheetpress.comSeed: k3n9wq

Problem: Order from least to greatest: 2/3, 3/4, 5/6, 7/12

Answer: 7/12, 2/3, 3/4, 5/6