Multiplying a fraction and a whole number

Advanced Math 4 · Unit 8 · fraction-times-whole · Teacher edition

fraction-times-whole

Name ______________________________Date ______________

1.
Compute $6 \times \dfrac{2}{3}$ .
Answer: ______________
2.
There are $36$ balloons at a party. $\dfrac{5}{6}$ of the balloons are blue. $\dfrac{2}{5}$ of the blue balloons have stars on them. How many blue balloons have stars?
Answer: ______________
3.
Jade has $20$ marbles. $\dfrac{3}{4}$ of them are green. How many marbles are green?
1. (A)
  $15$
2. (B)
  $3$
3. (C)
  $5$
4. (D)
  $60$

Answer key — Multiplying a fraction and a whole number

1.
4fraction-times-whole-01
$6 \times \frac{2}{3} = \frac{6 \times 2}{3} = \frac{12}{3} = \mathbf{4}$ .
2.
12fraction-times-whole-02
Blue: $\frac{5}{6} \times 36 = 30$ . With stars: $\frac{2}{5} \times 30 = \mathbf{12}$ .
3.
(A)
$15$
fraction-times-whole-03
One quarter of $20$ is $5$ , so three quarters is $3 \times 5 = \mathbf{15}$ green marbles. ( $3$ counts three marbles instead of three parts; $5$ is only one part; $60$ multiplies by $3$ without dividing by $4$ .)