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Cogito

Grade 5 Math · Chapter 6 · Lesson 4

Practice Worksheet

Multiplying Mixed Numbers

Turn them into pieces first.

10 problems · about 16 minutes · 5.NF.B.6

NameDate

Figure — use these to answer the problems

Set the factor above 1 by making the top number bigger than the bottom.
Before: 8
After: 12
1 1/2 × 8 = 12
Starting number8
Factor top number3
Factor bottom number2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Area with Fractional Sides”

    1/2 by 2/5. What is the bottom number of the area?

    Answer

  2. From “Multiplying as Scaling”

    What is 3/5 × 25?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 1 1/2 × 6. What is the answer?

    Answer

  2. What is the first step when multiplying mixed numbers?

    • Turn them into improper fractions.
    • Multiply the whole numbers only.

  3. 2 1/3 in thirds. What is the top number?

    Answer

  4. 1 1/2 × 4. What is the answer?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2 1/2 × 2. What is the answer?

    Answer

  2. Is 2 1/4 × 6 bigger or smaller than 6?

    • Bigger.
    • Smaller.

Stretch Yourself

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

2 problems

  1. The Recipe

    1 1/2 cups, doubled. How many halves in all?

    Answerhalves

  2. The Planks

    4 planks of 2 1/4 metres. How many quarters in all?

    Answerquarters