4th Grade Equivalent Fractions Quiz: 10 Questions with Explanations

A \(\frac{2}{8}\)B \(\frac{1}{3}\)C \(\frac{4}{6}\)D \(\frac{4}{8}\)

Multiply the top and bottom of \(\frac{1}{2}\) by 4 to get \(\frac{4}{8}\). The fraction \(\frac{2}{8}\) changes the amount.

A 8B 5C 6D 13

The denominator is multiplied by 2, so the numerator must be too: \(3 \times 2\) = 6. Adding 5 gives the wrong 8.

A \(\frac{3}{4} = \frac{3}{8}\)B \(\frac{3}{4} = \frac{4}{8}\)C \(\frac{3}{4} = \frac{6}{6}\)D \(\frac{3}{4} = \frac{6}{8}\)

Strip A has 3 of 4 parts shaded and strip B has 6 of 8 parts. Both are shaded to the same length.

A \(\frac{4}{6}\)B \(\frac{8}{12}\)C \(\frac{6}{8}\)D \(\frac{10}{15}\)

From 3 to 8 is not a whole-number multiple, and \(\frac{6}{8}\) equals \(\frac{3}{4}\). The other fractions come from multiplying 2 and 3 by 2, 4 or 5.

A \(\frac{70}{100}\)B \(\frac{7}{100}\)C \(\frac{17}{100}\)D \(\frac{10}{100}\)

Multiply the top and bottom by 10: \(7 \times 10\) = 70 and \(10 \times 10\) = 100. Keeping the 7 only changes one part.

A \(\frac{2}{6}\)B \(\frac{4}{6}\)C \(\frac{3}{6}\)D \(\frac{5}{6}\)

The bottom line has 6 parts. Two thirds is the same as 4 sixths, so the dot is at the 4th mark.

A \(\frac{10}{12}\)B \(\frac{7}{8}\)C \(\frac{10}{6}\)D \(\frac{5}{12}\)

Both parts are multiplied: \(5 \times 2\) = 10 and \(6 \times 2\) = 12. Multiplying only one part changes the value.

A She should have subtracted 1 from both partsB She added instead of multiplying both parts by the same numberC She should have multiplied only the numeratorD She made no mistake because the fractions are equal

Adding the same number does not keep the amount. \(\frac{1}{4}\) = \(\frac{2}{8}\) comes from multiplying both parts by 2.

A \(\frac{6}{100}\)B \(\frac{6}{10}\)C \(\frac{60}{10}\)D \(\frac{1}{6}\)

60 out of 100 is 6 tenths. Divide the top and bottom by 10.

A 6B 3C 4D 8

\(\frac{3}{4}\) = \(\frac{6}{8}\), so she needs 6 scoops. Many students stop at the 3 in the numerator.