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Cogito

Grade 6 Math · Chapter 3 · Lesson 1

Practice Worksheet

Dividing a Fraction by a Fraction

How many of these fit into that.

10 problems · about 18 minutes · 6.NS.A.1

NameDate

Figure — use these to answer the problems

Set both fractions and see how many of the second fit into the first.
3/4
1/8
013/41/8

3/4 is greater than 1/8.

First top number3
First bottom number4
Second top number1
Second bottom number8
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Converting Units with Rates”

    5 km in metres?

    Answer

  2. From “Finding the Whole from a Percent”

    25% of a number is 11. What is the number?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 3/4 ÷ 1/12 = ?

    Answer

  2. Why does dividing by a fraction mean multiplying by its reciprocal?

    • Counting how many fit means multiplying by how many are in one whole.
    • Because that is the rule.

  3. 1/2 ÷ 1/6 = ?

    Answer

  4. 3/5 ÷ 1/10 = ?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2/3 ÷ 1/3 = ?

    Answer

  2. What is the reciprocal of 1/5?

    Answer

Stretch Yourself

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

2 problems

  1. The Ribbon

    3/4 metre cut into pieces of 1/8 metre. How many pieces?

    Answerpieces

  2. The Juice

    2/3 litre poured into 1/12 litre cups. How many cups?

    Answercups