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Cogito

Grade 4 Math · Chapter 5 · Lesson 7

Practice Worksheet

Multiplying a Fraction by a Whole Number

Repeated copies of the same unit.

10 problems · about 16 minutes · 4.NF.B.4

NameDate

Figure — use these to answer the problems

Adding the same fraction again and again is what multiplying does.
2/5
2/5
4/5

2 fifths plus 2 fifths is 4 fifths, which is written 4/5.

First top number2
First bottom number5
Second top number2
Second bottom number5
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Mixed Numbers”

    17/5 as a mixed number. What is the whole number part?

    Answer

  2. From “Why 1/2 + 1/3 Is Not 2/5”

    1/4 + 1/2, in quarters. What is the top number?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 4 × 2/9. What is the top number of the answer?

    Answer

  2. Does multiplying always make a number bigger?

    • No. 1/4 of 8 is only 2.
    • Yes.

  3. 5 × 1/6. What is the top number of the answer?

    Answer

  4. 3 × 2/7. What is the top number of the answer?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 3 × 2/7. What is the bottom number of the answer?

    Answer

  2. What is 1/4 of 12?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Recipe

    A recipe needs 2/3 of a cup. Ana makes it 3 times. How many thirds in all?

    Answerthirds

  2. The Walk

    Leo walks 3/10 of a mile, 4 times. How many tenths in all?

    Answertenths