4th Grade Comparing Fractions Worksheet Solutions (PDF)

The denominators are the same, so compare the numerators: 3 is less than 5.

Answer: \(\frac{3}{8} < \frac{5}{8}\).

Same denominator. 7 is greater than 4.

Answer: \(\frac{7}{10} > \frac{4}{10}\).

The numerators are the same. Thirds are bigger pieces than fifths, so 2 thirds is more than 2 fifths.

Answer: \(\frac{2}{3} > \frac{2}{5}\).

Both have 1 piece. Fourths are bigger than sixths.

Answer: \(\frac{1}{4} > \frac{1}{6}\).

Same numerator. Fourths are bigger than eighths.

Answer: \(\frac{3}{4} > \frac{3}{8}\).

\(2 \times 3 = 6\) and \(1 \times 3 = 3\), so \(\frac{1}{2}\) = \(\frac{3}{6}\).

Answer: \(\frac{1}{2} = \frac{3}{6}\).

Use 12: \(\frac{2}{3} = \frac{8}{12}\) and \(\frac{3}{4} = \frac{9}{12}\).

Answer: \(\frac{2}{3} < \frac{3}{4}\).

Use 12: \(\frac{5}{6} = \frac{10}{12}\) and \(\frac{3}{4} = \frac{9}{12}\).

Answer: \(\frac{5}{6} > \frac{3}{4}\).

Use tenths: \(\frac{2}{5} = \frac{4}{10}\).

4 tenths is more than 3 tenths.

Answer: \(\frac{2}{5} > \frac{3}{10}\).

(a) Half of 8 is 4, and 3 is less than 4: less than \(\frac{1}{2}\).

(b) Half of 6 is 3, and 4 is more than 3: greater.

(c) Half of 10 is 5: equal.

(d) Half of 5 is 2.5, and 2 is less: less.

Answer: (a) \(\frac{3}{8} < \frac{1}{2}\) (b) \(\frac{4}{6} > \frac{1}{2}\) (c) \(\frac{5}{10} = \frac{1}{2}\) (d) \(\frac{2}{5} < \frac{1}{2}\).

\(\frac{3}{4}\) = \(\frac{6}{8}\). The dot for 6 eighths is to the right of 5 eighths.

Answer: \(\frac{5}{8} < \frac{3}{4}\).

The denominators are the same. Order the numerators: 1, 2, 4, 6.

Answer: \(\frac{1}{8}, \frac{2}{8}, \frac{4}{8}, \frac{6}{8}\).

Use 12: \(\frac{2}{3}\) = \(\frac{8}{12}\), \(\frac{5}{6}\) = \(\frac{10}{12}\), \(\frac{1}{2}\) = \(\frac{6}{12}\).

The numerators are 8, 10, 6 and 7. Order: 6, 7, 8, 10.

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

Use 60: \(5 \times 12 = 60\) and \(12 \times 5 = 60\).

\(\frac{3}{5} = \frac{36}{60}\) and \(\frac{7}{12} = \frac{35}{60}\).

Answer: \(\frac{3}{5} > \frac{7}{12}\).

\(\frac{3}{4}\) = \(\frac{6}{8}\). Compare \(\frac{6}{8}\) and \(\frac{5}{8}\): 6 is more than 5.

Answer: Maya ran farther.

Use 40: \(\frac{3}{5} = \frac{24}{40}\) and \(\frac{5}{8} = \frac{25}{40}\).

Answer: Diego has more water.

Use eighths: \(\frac{1}{2}\) = \(\frac{4}{8}\). The numerators are 4 (apples), 3 (pears) and 5 (peaches).

Answer: pears (\(\frac{3}{8}\)), apples (\(\frac{1}{2}\)), peaches (\(\frac{5}{8}\)).

Use 12: 8, 9 and 10 twelfths.

Answer: \(\frac{2}{3} < \frac{3}{4} < \frac{5}{6}\).

When the numerators are the same, a bigger denominator means smaller pieces. Eighths are smaller than fourths.

Answer: No. \(\frac{1}{8} < \frac{1}{4}\).

(a) \(\frac{2}{5}\) = \(\frac{4}{10}\), and 4 tenths is more than 3 tenths, so lunch cost more.

(b) Together: \(\frac{3}{10} + \frac{4}{10} = \frac{7}{10}\). Half is \(\frac{5}{10}\), and 7 is more than 5.

Answer: (a) lunch (b) more than half.