4th Grade Comparing Fractions Quiz: 10 Questions with Explanations

A \(\frac{5}{8} > \frac{3}{8}\)B \(\frac{5}{8} < \frac{3}{8}\)C \(\frac{5}{8} = \frac{3}{8}\)D \(\frac{3}{8} > \frac{5}{8}\)

With the same denominator, compare numerators. 5 is greater than 3. The reversed statement shows the other order.

A \(\frac{1}{5}\)B \(\frac{1}{3}\)C They are equalD It cannot be told

Thirds are bigger pieces than fifths. A bigger denominator does not mean a bigger fraction.

A \(\frac{3}{4} < \frac{5}{8}\)B \(\frac{3}{4} = \frac{5}{8}\)C \(\frac{5}{8} > \frac{3}{4}\)D \(\frac{3}{4} > \frac{5}{8}\)

\(\frac{3}{4}\) = \(\frac{6}{8}\), and 6 eighths is more than 5 eighths. The top strip is longer.

A \(\frac{3}{8}\)B \(\frac{5}{8}\)C \(\frac{2}{3}\)D \(\frac{7}{10}\)

Half of 8 is 4, and 3 is less than 4. The others have numerators more than half the denominator.

A \(\frac{2}{3} > \frac{3}{4}\)B \(\frac{2}{3} = \frac{3}{4}\)C \(\frac{2}{3} < \frac{3}{4}\)D \(\frac{3}{4} < \frac{2}{3}\)

In twelfths, \(\frac{2}{3}\) = \(\frac{8}{12}\) and \(\frac{3}{4}\) = \(\frac{9}{12}\). 8 is less than 9.

A \(\frac{1}{4} > \frac{3}{8}\)B \(\frac{1}{4} < \frac{3}{8}\)C \(\frac{1}{4} = \frac{3}{8}\)D \(\frac{3}{8} < \frac{1}{4}\)

A is at 2 eighths and B is at 3 eighths. Points to the right are greater.

A \(\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{3}{4}\)B \(\frac{3}{4}, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}\)C \(\frac{1}{8}, \frac{1}{4}, \frac{1}{2}, \frac{3}{4}\)D \(\frac{1}{4}, \frac{1}{8}, \frac{1}{2}, \frac{3}{4}\)

In eighths the fractions are 1, 2, 4 and 6. The second list starts with the greatest unit fraction.

A \(\frac{5}{6}\)B \(\frac{7}{10}\)C They are equalD It cannot be told

In thirtieths, \(\frac{5}{6}\) = \(\frac{25}{30}\) and \(\frac{7}{10}\) = \(\frac{21}{30}\). The \(\frac{5}{6}\) strip is longer.

A \(\frac{4}{5} < \frac{4}{6}\) because 5 is less than 6B \(\frac{4}{5} > \frac{4}{6}\) because fifths are bigger than sixthsC \(\frac{4}{5} = \frac{4}{6}\) because the numerators matchD \(\frac{4}{5} < \frac{4}{6}\) because 6 pieces is more

With the same numerator, the smaller denominator gives bigger pieces.

A Diego, because 4 is less than 6B They ran the same distanceC Mei, because 5 is less than 6D Mei, because \(\frac{10}{12}\) is greater than \(\frac{9}{12}\)

\(\frac{3}{4}\) = \(\frac{9}{12}\) and \(\frac{5}{6}\) = \(\frac{10}{12}\). The denominators alone do not decide the answer.