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Understanding Fractions: Grade 3 Math Worksheet – PDF Download

    Understanding Fractions – Grade 3 math worksheet

    This grade 3 fractions worksheet gives 23 problems on understanding fractions, ordered from easy to hard, with a separate answer key.

    These 23 problems practice unit fractions, naming fractions of a whole, and placing fractions on a number line from standards 3.NF.A.1 and 3.NF.A.2. The first problems use circles, bars, and rectangles cut into equal parts.

    Later problems use number lines cut into thirds, sixths, and eighths, then move to word problems about sandwiches, a garden, brownies, and a hiking trail. Show every step.

    Grade 3Common Core: 3.NF.A.1 · 3.NF.A.2

    Grade 3 Fractions Worksheet: problems 1–5

    Problem 1: Unit fraction of a pie

    The circle is cut into equal parts. Write the unit fraction that names the shaded part.

    A circle cut into equal parts.

    Problem 2: Equal parts or not

    Decide whether the bar is cut into fourths. Explain your answer.

    A bar with 4 parts.

    Problem 3: Name the shaded fraction

    Write the fraction that names the shaded part of the bar.

    A bar cut into equal parts.

    Problem 4: Shade a fraction

    The bar is cut into equal parts. Shade \(\frac{2}{3}\) of the bar.

    A bar cut into 3 equal parts.

    Problem 5: Fractions in words

    1. Write \(\frac{3}{4}\) in words.
    2. Write \(\frac{5}{6}\) in words.
    3. Write seven-eighths using numbers.

    Grade 3 Fractions Worksheet: problems 6–10

    Problem 6: Numerator and denominator

    Look at the fraction \(\frac{5}{8}\).

    1. Name the numerator.
    2. Name the denominator.
    3. Tell what the denominator says about the whole.

    Problem 7: Counting unit fractions

    1. How many parts of size \(\frac{1}{4}\) make \(\frac{3}{4}\)?
    2. How many parts of size \(\frac{1}{6}\) make \(\frac{5}{6}\)?
    3. \(\frac{7}{8}\) is 7 copies of which unit fraction?

    Problem 8: Fraction of a circle

    Write the fraction that names the shaded part of the circle.

    A circle cut into equal parts.

    Problem 9: Fraction of a rectangle

    The rectangle is made of equal squares. Write the fraction that names the shaded part.

    A rectangle with 4 columns and 2 rows of equal squares.

    Problem 10: The part not shaded

    Write the fraction of the bar that is not shaded.

    A bar cut into equal parts.

    Grade 3 Fractions Worksheet: problems 11–15

    Problem 11: Name the point

    The number line from 0 to 1 is cut into equal parts. Write the fraction that names point P.

    01P
    Point P on a number line.

    Problem 12: Length of each part

    A number line from 0 to 1 is cut into equal parts. Write the length of one part.

    1. It is cut into 6 equal parts.
    2. It is cut into 8 equal parts.
    3. It is cut into 3 equal parts.

    Problem 13: Plot a fraction

    The number line is cut into equal parts. Draw a point at \(\frac{2}{3}\).

    01
    A number line from 0 to 1.

    Problem 14: Two points

    Write the fractions that name point A and point B.

    01AB
    A number line from 0 to 1 cut into 8 equal parts.

    Problem 15: Hops on a number line

    1. Start at 0 and hop 5 times . Each hop is \(\frac{1}{6}\) long. Where do you land?
    2. Start at 0 and hop 3 times . Each hop is \(\frac{1}{4}\) long. Where do you land?

    Grade 3 Fractions Worksheet: problems 16–20

    Problem 16: Build the fraction

    1. Write the fraction with numerator 3 and denominator 8.
    2. Write the unit fraction with denominator 5.
    3. A whole is cut into 7 equal parts. Write the fraction for 2 of the parts.

    Problem 17: Find the mistake

    Ethan says the shaded part of the circle is \(\frac{1}{3}\) because 1 part is shaded and 3 parts are not shaded. Explain his mistake and write the correct fraction.

    A circle cut into equal parts.

    Problem 18: Sofia's sandwich

    Sofia cuts a sandwich into 4 equal pieces. She eats 3 pieces.

    1. What fraction of the sandwich does Sofia eat?
    2. What fraction of the sandwich is left?

    Problem 19: Hiking trail

    A trail is 1 mile long. Markers cut the trail into 8 equal parts. Mei walks from the start to the picnic table at point T. What fraction of a mile does Mei walk?

    01 miT
    The trail from 0 miles to 1 mile.

    Problem 20: Jamal's garden

    Jamal’s garden has 8 equal sections. He plants tomatoes in 5 sections and peppers in the rest.

    1. What fraction of the garden has tomatoes?
    2. What fraction of the garden has peppers?

    Grade 3 Fractions Worksheet: problems 21–23

    Problem 21: Bake sale brownies

    Priya cuts a pan of brownies into 6 equal pieces. At the bake sale she sells 5 pieces.

    1. What fraction of the pan does Priya sell?
    2. What unit fraction of the pan is left?

    Problem 22: Pizza night

    A pizza is cut into 8 equal slices. Liam eats 2 slices and Aisha eats 3 slices. The shaded slices in the picture were eaten.

    1. What fraction of the pizza does Aisha eat?
    2. What fraction of the pizza do Liam and Aisha eat together?
    3. What fraction of the pizza is left?
    Five of the eight equal slices were eaten.

    Problem 23: Ethan's paper strip

    Ethan cuts a paper strip into 3 equal parts. He colors 2 parts red.

    1. What unit fraction names one part of the strip?
    2. What fraction of the strip is red?
    3. How many parts of size \(\frac{1}{3}\) are red?

    Understanding Fractions: Grade 3 worksheet answer key

    How to use this grade 3 fractions worksheet

    Print this grade 3 fractions worksheet as a PDF, solve every problem on paper, then compare with the answer key.

    Next step after this grade 3 fractions worksheet: Understanding Fractions worksheet answer key

    See every chapter on the Grade 3 math page.

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