Whole-Number Copies of Fractions - Practice 1

Count repeated fraction loads without changing the whole.

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Watch the lesson | Try Fraction Dock: choose Scaling

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Keep the whole and piece size fixed. A whole-number multiplier counts copies: multiply the copies by the numerator and keep the denominator. Zero copies selects nothing; one copy keeps the load unchanged. More pieces than fit in a whole make a valid fraction above one.

Worked example

3 x 2/5 = 6/5 = 1 + 1/5. Three copies each select two fifth-size pieces. Together there are six pieces, and five still make one whole. Check: 2/5 + 2/5 + 2/5 = 6/5, not 6/15. The diagram shows this example, not the questions.

Three same-sized whole frames each have five equal cells, with two dotted cells per frame. Six selected fifths make 6/5, or one whole and one fifth. Count five cells per whole, not fifteen across all frames. Practice questions use different amounts. — Dots show selected fifths. Count parts per ONE whole, not across all copies. Example amounts differ from the questions.

Would you believe it?

Multiplication does not always make a positive amount bigger. Half a copy is smaller, one copy is unchanged, and one-and-a-half copies is larger. The number of copies, not the multiplication sign alone, decides the change.

OpenStax: multiplying fractions

Question 1 2 x 3/8 = ? 5/8 3/4 6/16

Question 2 4 x 2/3 = ? 2/3 6/3 8/3

Question 3 0 x 5/6 = ? 0 5/6 1

Question 4 Three copies of 1/4 make __/4. What numerator fills the blank? Answer

Question 5 Why do 2 copies of 4/7 make 8/7, not 8/14? More copies double the size of the whole Each whole still has seven equal parts The number of copies is always the denominator

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