To divide a whole number by a unit fraction, we can multiply the whole number by the fraction's denominator.

So, to divide 2 \div \dfrac{1}{\color{blue}5}, we multiply the 2 by {\color{blue}5}\!: 2 \div \dfrac{1}{\color{blue}5} = 2 \times {\color{blue}5} = 10

And that's the answer! Notice that this method does the same job as the fraction model method we used before:


FLAG

Divide 14 \div \dfrac{1}{3}.

EXPLANATION

To divide a whole number by a unit fraction, we multiply the whole number by the fraction's denominator: 14 \div \dfrac{1}{3} = 14 \times 3 = 42

FLAG

$5\div \dfrac{1}{2}=$

a
$\dfrac{1}{10}$
b
$3$
c
$\dfrac{5}{2}$
d
$10$
e
$7$

$16\div \dfrac{1}{3} =$

a
$\dfrac{1}{48}$
b
$13$
c
$48$
d
$\dfrac{16}{3}$
e
$19$

What is the value of 5 \div \dfrac{1}{15} ?

EXPLANATION

To divide a whole number by a unit fraction, we multiply the whole number by the fraction's denominator: 5 \div \dfrac{1}{15} = 5 \times 15 = 75

FLAG

$2 \div \dfrac{1}{10} = $

a
$12$
b
$6$
c
$15$
d
$5$
e
$20$

$4 \div \dfrac{1}{11} =$

a
$\dfrac{11}{4}$
b
$\dfrac{4}{11}$
c
$44$
d
$22$
e
$15$

Johnny has 5 kilograms of wheat flour with which he wants to make some pizzas. If each pizza needs \dfrac{1}{10} of a kilogram of wheat flour, how many pizzas can Johnny make?

EXPLANATION

To determine the number of pizzas that Johnny can make, we divide the amount of wheat flour by the amount of wheat flour each pizza needs. 5 \div \dfrac{1}{10}

To divide a whole number by a unit fraction, we multiply the whole number by the fraction's denominator: 5 \div \dfrac{1}{10} = 5 \times 10 = 50

Therefore, Johnny can make 50 pizzas.

FLAG

Ana has $3$ kilograms of wheat flour with which she wants to make some cakes. If each cake needs $\dfrac{1}{2}$ of a kilogram of wheat flour, how many cakes can Ana make?

a
$5$
b
$7$
c
$10$
d
$8$
e
$6$

William is filling a $3$ liter bottle with water using a cup. How many cups of water does William need to use to fill the bottle if the capacity of one cup is $\dfrac{1}{6}$ of a liter?

a
$\dfrac{1}{2}$
b
$9$
c
$18$
d
$12$
e
$\dfrac{1}{18}$
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