3rd Grade Equivalent and Comparing Fractions Worksheet (PDF)

Use the bars to complete: \(\frac{1}{2}\) = \(\frac{?}{4}\).

Use the bars to complete: \(\frac{1}{3}\) = \(\frac{?}{6}\).

The dashed line shows the point \(\frac{3}{6}\). Write the halves fraction at the same point.

Complete: \(\frac{3}{4}\) = \(\frac{?}{8}\).

Circle every fraction that equals \(\frac{1}{2}\): \(\frac{2}{4}\), \(\frac{3}{6}\), \(\frac{3}{8}\), \(\frac{4}{8}\), \(\frac{2}{3}\).

Write the missing number.

1. \(\frac{1}{4} = \frac{?}{8}\)
2. \(\frac{4}{8} = \frac{?}{2}\)
3. \(\frac{4}{6} = \frac{?}{3}\)

Write each fraction as a whole number.

1. \(\frac{4}{4}\)
2. \(\frac{6}{3}\)
3. \(\frac{5}{1}\)

Point P is on a number line cut into halves. Write P as a fraction and as a whole number.

1. Write 3 as a fraction with denominator 1.
2. Write 2 as a fraction with denominator 4.
3. Write 1 as a fraction with denominator 6.

Write <, >, or = in each blank.

1. \(\frac{3}{8}\) ___ \(\frac{5}{8}\)
2. \(\frac{6}{6}\) ___ \(\frac{4}{6}\)
3. \(\frac{1}{3}\) ___ \(\frac{2}{3}\)

Compare \(\frac{3}{4}\) and \(\frac{3}{8}\) using the bars. Write <, >, or =.

Write <, >, or = in each blank.

1. \(\frac{2}{3}\) ___ \(\frac{2}{6}\)
2. \(\frac{5}{8}\) ___ \(\frac{5}{6}\)
3. \(\frac{1}{2}\) ___ \(\frac{1}{4}\)

Point A is at \(\frac{1}{6}\) and point B is at \(\frac{4}{6}\). Which point shows the greater fraction? Write the comparison.

Write from least to greatest: \(\frac{1}{2}\), \(\frac{1}{8}\), \(\frac{1}{3}\), \(\frac{1}{6}\).

Two banana loaves are the same size. Maya cuts hers into 8 slices and eats 6 slices. Sofia cuts hers into 4 slices and eats 3 slices. Did they eat the same amount? Explain.

Ethan ran \(\frac{3}{8}\) mile and Liam ran \(\frac{3}{4}\) mile on the same track. Who ran farther? Write a comparison.

Two boards have the same length. Jamal paints \(\frac{5}{6}\) of his board and Aisha paints \(\frac{3}{6}\) of hers.

1. Who painted more?
2. How many sixths more did that person paint?

Noah says \(\frac{1}{4}\) is greater than \(\frac{1}{3}\) because 4 is greater than 3. Explain his mistake and write the correct comparison.

Two friends pour rice into pots for a school picnic. Priya’s scoop holds \(\frac{1}{3}\) cup and she pours 9 level scoops. Diego’s scoop holds \(\frac{1}{4}\) cup and he pours 12 level scoops. Write each amount as a fraction and as a whole number. Who poured more rice?

Three ribbons start with the same length. Priya cuts off \(\frac{2}{3}\) of hers, Diego cuts off \(\frac{3}{6}\), and Mei cuts off \(\frac{5}{6}\).

1. Who cut off an amount equal to \(\frac{1}{2}\)?
2. Write the three fractions from least to greatest.