Understanding Fractions: Grade 3 Math Worksheet Answer Key – PDF Download

Grade 3 Fractions Worksheet Answer Key: problems 1–5

Problem 1: Unit fraction of a pie

The circle has 6 equal parts, so the denominator is 6. One part is shaded, so the numerator is 1.

The unit fraction is \(\frac{1}{6}\).

Problem 2: Equal parts or not

The bar has 4 parts, but the parts are not the same size. Fourths must be equal.

No, it does not show fourths.

Problem 3: Name the shaded fraction

The bar has 8 equal parts, so the denominator is 8. Five parts are shaded, so the numerator is 5.

The shaded part is \(\frac{5}{8}\).

Problem 4: Shade a fraction

The denominator 3 means the bar has 3 equal parts. The numerator 2 means shade 2 of them.

Shade any 2 of the 3 parts.

Problem 5: Fractions in words

1. three-fourths
2. five-sixths
3. Seven-eighths is 7 parts out of 8: \(\frac{7}{8}\).

Grade 3 Fractions Worksheet Answer Key: problems 6–10

Problem 6: Numerator and denominator

1. The top number is 5.
2. The bottom number is 8.
3. The whole is cut into 8 equal parts.

Problem 7: Counting unit fractions

1. The numerator is 3, so 3 parts.
2. The numerator is 5, so 5 parts.
3. Each copy is one eighth: \(\frac{1}{8}\).

Problem 8: Fraction of a circle

The circle has 6 equal parts and 4 are shaded.

The shaded part is \(\frac{4}{6}\).

Problem 9: Fraction of a rectangle

There are 4 columns and 2 rows, so \(4 \times 2 = 8\) equal squares. Three squares are shaded.

The shaded part is \(\frac{3}{8}\).

Problem 10: The part not shaded

The bar has 8 equal parts. Three are shaded, so \(8 – 3 = 5\) are not shaded.

The part not shaded is \(\frac{5}{8}\).

Grade 3 Fractions Worksheet Answer Key: problems 11–15

Problem 11: Name the point

The distance from 0 to 1 is cut into 6 equal parts, so each step is \(\frac{1}{6}\). Point P is 4 steps from 0.

Point P is \(\frac{4}{6}\).

Problem 12: Length of each part

When the space from 0 to 1 is cut into \(b\) equal parts, each part has length \(\frac{1}{b}\).

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

Problem 13: Plot a fraction

There are 3 equal parts, so each step is \(\frac{1}{3}\). Start at 0 and take 2 steps.

Draw the point at the second mark after 0.

Problem 14: Two points

Each part is \(\frac{1}{8}\). Point A is 3 steps from 0. Point B is 7 steps from 0.

A is \(\frac{3}{8}\) and B is \(\frac{7}{8}\).

Problem 15: Hops on a number line

1. 5 hops of \(\frac{1}{6}\) land at \(\frac{5}{6}\).
2. 3 hops of \(\frac{1}{4}\) land at \(\frac{3}{4}\).

Grade 3 Fractions Worksheet Answer Key: problems 16–20

Problem 16: Build the fraction

1. \(\frac{3}{8}\)
2. A unit fraction has numerator 1: \(\frac{1}{5}\).
3. \(\frac{2}{7}\)

Problem 17: Find the mistake

The denominator counts all the equal parts in the whole, not only the unshaded ones. The circle has 1 + 3 = 4 equal parts.

The correct fraction is \(\frac{1}{4}\).

Problem 18: Sofia's sandwich

The sandwich has 4 equal pieces.

1. She eats 3 of 4 pieces: \(\frac{3}{4}\).
2. \(4 – 3 = 1\) piece is left: \(\frac{1}{4}\).

Problem 19: Hiking trail

Each part of the trail is \(\frac{1}{8}\) mile. The picnic table is 5 parts from the start.

Mei walks \(\frac{5}{8}\) mile.

Problem 20: Jamal's garden

The garden has 8 equal sections.

1. \(\frac{5}{8}\)
2. \(8 – 5 = 3\) sections have peppers: \(\frac{3}{8}\).

Grade 3 Fractions Worksheet Answer Key: problems 21–23

Problem 21: Bake sale brownies

The pan has 6 equal pieces.

1. \(\frac{5}{6}\)
2. \(6 – 5 = 1\) piece is left, so the unit fraction is \(\frac{1}{6}\).

Problem 22: Pizza night

The pizza has 8 equal slices.

1. Aisha eats 3 slices: \(\frac{3}{8}\).
2. Together they eat \(2 + 3 = 5\) slices: \(\frac{5}{8}\).
3. \(8 – 5 = 3\) slices are left: \(\frac{3}{8}\).

Problem 23: Ethan's paper strip

1. The strip has 3 equal parts: \(\frac{1}{3}\).
2. Two of the 3 parts are red: \(\frac{2}{3}\).
3. 2 parts, because the numerator is 2.

How to use this grade 3 fractions worksheet answer key

Read this grade 3 fractions worksheet answer key after trying each problem yourself, and redo any problem you missed.

See every chapter on the Grade 3 math page.