Fraction notation · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Naming the parts of a fraction

Mathematics · Fractions · ages 6-9
Name ______________________   Date ____________

  1. Two cakes are different sizes. Ana takes half of the bigger cake. Ben takes half of the smaller cake. Are their pieces the same size?

    • Yes, every half has the same size in any cake.
    • Yes, the word half makes both pieces equal.
    • No, half of a smaller cake is a bigger piece.
    • No, half of a bigger cake is a bigger piece.

  2. 2/3 is both a non-unit fraction and a proper fraction.

    Circle one:   True   False

  3. In the fraction 3/4, which number is the denominator?

    • 4
    • 3
    • 3/4

  4. In a fraction, the numerator is always written on the bottom.

    Circle one:   True   False

  5. The top and bottom numbers of 6/6 are equal. Which name fits 6/6?

    • Proper fraction
    • Mixed number
    • Improper fraction
    • Unit fraction

  6. Which fraction is equivalent to 2/4?

    • 3/4
    • 1/2
    • 2/2

  7. What does the mixed number 2 1/4 mean?

    • 2 quarters and 1 whole
    • 2 wholes and 1 quarter
    • 1 whole and 2 quarters
    • 2 wholes and 4 quarters

  8. A bar is cut into 3 unequal pieces. One piece is shaded. Does counting the pieces tell you that 1/3 of the bar is shaded?

    • Yes, counting the pieces is enough.
    • No, the parts must be equal.
    • Yes, the bar's shape gives the answer.
    • No, fractions only work with circles.

  9. A proper fraction has denominator 3. Its numerator must be a counting number: 1, 2, 3 or more. What is the largest numerator it can have?

    Answer: ______________

  10. Mia calls 4/3 a proper fraction. Which rule helps her check?

    • Proper fractions always have a top number of 1.
    • Proper fractions need a larger top number.
    • Proper fractions need a smaller top number.
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Naming the parts of a fraction W1-mt_vKcxX6iNOA-s1

  1. No, half of a bigger cake is a bigger piece. · Both pieces are one half of their own cake. But the cakes are different sizes, so half of the bigger cake is bigger.
  2. True · Its numerator is greater than 1, so it is non-unit. Its numerator is smaller than its denominator, so it is proper.
  3. 4 · The denominator is the bottom number. It tells you how many equal parts the whole is cut into.
  4. False · The numerator is the top number. The denominator is the bottom number.
  5. Improper fraction · An improper fraction has a numerator equal to or greater than its denominator. In 6/6 they are equal.
  6. 1/2 · 2/4 and 1/2 both show half of the whole. They just use different numbers to say it.
  7. 2 wholes and 1 quarter · The 2 counts whole units. The 1/4 beside it adds one quarter of another whole.
  8. No, the parts must be equal. · A denominator counts equal parts of a whole. Three unequal pieces cannot be treated as three thirds.
  9. 2 · A proper fraction needs a numerator smaller than 3. The counting numbers below 3 are 1 and 2, so the largest is 2.
  10. Proper fractions need a smaller top number. · In 4/3 the numerator is bigger than the denominator, so it is improper, not proper.
Worksheet · LightMySky