3rd Grade Equivalent and Comparing Fractions Quiz: 10 Questions with Explanations

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

Two of four equal parts is half of the bar. The fraction 2/4 is equivalent to 1/2.

A 1 pieceB 2 piecesC 4 piecesD 8 pieces

One fourth equals 2 eighths because each fourth is cut into 2 equal parts. Eating 1 eighth would be half as much as Jamal.

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

The dashed line lands on the second sixths mark, so 1/3 = 2/6. The mistake is keeping the numerator the same.

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

Any whole number n can be written as n over 1. The fraction 3/3 equals 1, not 3.

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

When the numerator and denominator are the same, all the parts are counted, so the fraction is 1.

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

The parts are the same size, so 3 parts is less than 5 parts.

A \(\frac{2}{4} > \frac{2}{8}\)B \(\frac{2}{4} < \frac{2}{8}\)C \(\frac{2}{4} = \frac{2}{8}\)D \(\frac{2}{8} > \frac{2}{4}\)

The numerators match, so look at part size. Fourths are bigger than eighths.

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

All have numerator 1, so the smallest denominator gives the biggest parts.

A JamalB They eat the same amountC MayaD It is impossible to tell

Same numerator, so sixths are bigger than eighths and Maya eats more.

A It is less than 1B It equals 4 wholesC It equals 0D It equals 1 whole

Four fourths fill the whole, so the fraction equals 1.