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Cogito

Grade 5 Math · Chapter 7 · Lesson 1

Practice Worksheet

Dividing a Whole Number by a Unit Fraction

How many small pieces fit?

10 problems · about 16 minutes · 5.NF.B.7

NameDate

Figure — use these to answer the problems

Count the small marks between 0 and the whole number.
012341/32/31/32/31/32/31/32/3

3

Thirds along3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Multiplying Mixed Numbers”

    1 1/2 × 6. What is the answer?

    Answer

  2. From “Area with Fractional Sides”

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

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 6 ÷ 1/3 = ?

    Answer

  2. What does 4 ÷ 1/3 ask?

    • How many thirds fit into 4.
    • What is a third of 4.

  3. 3 ÷ 1/4 = ?

    Answer

  4. 7 ÷ 1/2 = ?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 4 ÷ 1/5 = ?

    Answer

  2. Does dividing by a unit fraction make the answer bigger?

    • Yes. Small pieces fit many times.
    • No.

Stretch Yourself

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

2 problems

  1. The Ribbons

    6 metres cut into pieces of 1/2 metre. How many pieces?

    Answerpieces

  2. The Servings

    5 pizzas cut into quarters. How many quarters?

    Answerquarters