Fractions as division

Advanced Math 5 · Unit 6 · fraction-as-division · Teacher edition

fraction-as-division

Name ______________________________Date ______________

1.
Four friends share $3$ pizzas equally. What fraction of a pizza does each friend get?
Answer: ______________
2.
A ribbon $4$ m long is cut into $5$ equal pieces. How long is each piece, in metres? Enter a decimal.
Answer: ______________
3.
Five friends share $2$ loaves of bread equally. How much bread does each friend get?
1. (A)
  $\frac{1}{5}$ of a loaf
2. (B)
  $\frac{2}{5}$ of a loaf
3. (C)
  $\frac{1}{2}$ of a loaf
4. (D)
  $2\frac{1}{2}$ loaves
5. (E)
  $10$ loaves

Answer key — Fractions as division

1.
3/4fraction-as-division-01
$3 \div 4 = \frac{3}{4}$ . Each friend gets $\mathbf{\frac{3}{4}}$ of a pizza. (Cut every pizza into quarters; each friend takes one quarter from each of the $3$ pizzas.)
2.
0.8fraction-as-division-02
$4 \div 5 = \frac{4}{5} = \frac{8}{10} = \mathbf{0.8}$ m. Check: $5 \times 0.8 = 4$ . ✓
3.
(B)
$\frac{2}{5}$ of a loaf
fraction-as-division-03
$2 \div 5 = \frac{2}{5}$ . Each friend gets $\mathbf{\frac{2}{5}}$ of a loaf. ( $2\frac{1}{2}$ is $5 \div 2$ , the division turned upside down — five people cannot each get more than the two loaves; $\frac{1}{5}$ shares only one loaf; $\frac{1}{2}$ and $10$ are not $2$ divided by $5$ .)