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

For example, to calculate \dfrac{1}{5} \div {\color{blue}2}, we multiply the fraction's denominator by {\color{blue}2}\!: \dfrac{1}{5} \div {\color{blue}2} = \dfrac{1}{5 \times {\color{blue}2}} = \dfrac{1}{10}

Notice that we get the same answer using a fraction model, and the process is similar.


FLAG

What is the value of \dfrac{1}{4} \div 3 ?

EXPLANATION

To divide a unit fraction by a whole number, we multiply the fraction's denominator by that whole number: \dfrac{1}{4} \div 3 = \dfrac{1}{4 \times 3} = \dfrac{1}{12}

FLAG

$\dfrac{1}{3}\div 2 = $

a
$ \dfrac{2}{3}$
b
$ \dfrac{1}{6}$
c
$ \dfrac{1}{5}$
d
$ \dfrac{3}{2}$
e
$ \dfrac{1}{32}$

$\dfrac{1}{3} \div 20 = $

a
$\dfrac{20}{3}$
b
$\dfrac{1}{30}$
c
$\dfrac{3}{20}$
d
$\dfrac{1}{60}$
e
$\dfrac{1}{45}$

$\dfrac{1}{4}\div 22 = $

a
b
c
d
e

What is the value of \dfrac{1}{16} \div 5 ?

EXPLANATION

To divide a unit fraction by a whole number, we multiply the fraction's denominator by that whole number: \dfrac{1}{16} \div 5 = \dfrac{1}{16 \times 5} = \dfrac{1}{80}

FLAG

$\dfrac{1}{11} \div 3 = $

a
$\dfrac{1}{14}$
b
$\dfrac{3}{11}$
c
$\dfrac{1}{33}$
d
$\dfrac{1}{41}$
e
$\dfrac{11}{3}$

$\dfrac{1}{25}\div 3 = $

a
b
c
d
e
Example: Word Problems

Joshua uses \dfrac{1}{2} \, \textrm{kg} of ham to make 4 pizzas. If the ham is distributed equally among the 4 pizzas, how much ham does he put on each pizza?

EXPLANATION

To determine the amount of ham on each pizza, we must divide the amount of ham by the number of pizzas: \dfrac{1}{2} \div 4

To divide a unit fraction by a whole number, we multiply the fraction's denominator by that whole number: \dfrac{1}{2} \div 4 = \dfrac{1}{2 \times 4} = \dfrac{1}{8}

Therefore, Joshua puts \dfrac{1}{8} \, \textrm{kg} of ham on each pizza.

FLAG
Practice: Word Problems

John has $\dfrac{1}{4}$ gallons of paint to paint $2$ doors. If he uses the same amount of paint on each door, how much paint will John use on each door?

a
$\dfrac{1}{16}$ gallons
b
$\dfrac{1}{18}$ gallons
c
$\dfrac{1}{14}$ gallons
d
$\dfrac{1}{8}$ gallons
e
$\dfrac{1}{6}$ gallons
Practice: Word Problems

Elizabeth has $\dfrac{1}{2}$ of a cake to distribute among $6$ children. If each child gets the same size piece, how much of the cake will each child get?

a
b
c
d
e
Flag Content
Did you notice an error, or do you simply believe that something could be improved? Please explain below.
SUBMIT
CANCEL