3rd Grade Understanding Fractions Quiz: 10 Questions with Explanations

A \(\frac{6}{5}\)B \(\frac{5}{6}\)C \(\frac{1}{6}\)D \(\frac{4}{6}\)

Five of the six equal parts are shaded. Writing 6 over 5 swaps the numerator and denominator.

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

A unit fraction has 1 on top. It names one equal part.

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

The line is cut into thirds and P is 2 lengths from 0. Counting tick marks incorrectly gives the wrong denominator.

A The whole is cut into 8 equal partsB Eight parts are shadedC Seven parts are left overD Each part is 8 inches long

The denominator counts the equal parts in the whole. The numerator counts the parts named.

A 6B 5C 1D 4

The fraction a/b is a copies of 1/b, so 5/6 is 5 copies of 1/6.

A Each part is \(\frac{1}{3}\)B The parts are not equal, so they are not thirdsC Each part is \(\frac{1}{4}\)D There are 3 equal parts

Thirds need 3 equal parts. These parts have different sizes.

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

8 – 3 = 5 pieces are left, so the fraction is 5/8.

A \(\frac{4}{8}\)B \(\frac{6}{8}\)C \(\frac{5}{8}\)D \(\frac{8}{5}\)

Q is at the fifth tick mark after 0 on a line cut into eighths. The mistake is to count 0 as a tick mark or to flip the fraction.

A 6 of 4 equal partsB 4 equal parts, all shadedC 4 plus 6 partsD 4 of 6 equal parts

The numerator 4 counts parts named. The denominator 6 counts all equal parts.

A \(\frac{4}{6}\)B \(\frac{6}{4}\)C \(\frac{4}{24}\)D \(\frac{1}{6}\)

Four copies of 1/6 make 4/6. The bottom number stays 6 because the part size stays the same.