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Cogito

Grade 5 Math · Chapter 6 · Lesson 1

Practice Worksheet

A Fraction of a Fraction

Cut it, then cut the piece again.

10 problems · about 16 minutes · 5.NF.B.4

NameDate

Figure — use these to answer the problems

Cut the whole, then imagine cutting each piece again.

0/6 shaded

Equal pieces6
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Line Plots and Fraction Data”

    5 beakers at 2/8 litre. How many eighths in all?

    Answer

  2. From “Judging an Answer with Benchmarks”

    About how much is 8/9 + 1/10? Nearest whole number.

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 3/4 × 2/5. What is the bottom number?

    Answer

  2. What does "of" mean in "1/2 of 1/3"?

    • Multiply.
    • Add.

  3. 1/2 × 1/4. What is the bottom number?

    Answer

  4. 2/3 × 1/5. What is the top number?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2/3 × 1/5. What is the bottom number?

    Answer

  2. Is 1/2 × 1/3 bigger or smaller than 1/3?

    • Smaller.
    • Bigger.

Stretch Yourself

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

2 problems

  1. Half of a Third

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

    Answer

  2. The Cake

    1/4 of 2/3. What is the top number of the answer, before tidying?

    Answer