Every fraction represents a division - the division of the numerator by the denominator. For example: \dfrac{\color{blue}1}{\color{red}3} = {\color{blue}1} \div {\color{red}3}

Likewise, we can represent every division problem as a fraction, where the dividend is the numerator, and the divisor is the denominator. For example:

{\color{blue}3} \div {\color{red}2} = \dfrac{\color{blue}3}{\color{red}2}

FLAG

Express 59\div 4 as a fraction.

EXPLANATION

A division problem may be interpreted as a fraction, where the dividend is the numerator, and the divisor is the denominator.

Therefore, we can represent the given division problem as

59\div 4=\dfrac{59}{4}.

FLAG

$37\div 3=$

a
$\dfrac{37}{3}$
b
$\dfrac{1}{3}$
c
$\dfrac{3}{37}$
d
$\dfrac{1}{37}$
e
$37$

$40\div 13=$

a
$\dfrac{40}{13}$
b
$\dfrac{1}{40}$
c
$3$
d
$\dfrac{13} {40}$
e
$\dfrac{1}{13}$

What is 20\div 8 as an improper fraction?

EXPLANATION

First, we can represent the given division problem as a fraction:

20\div 8 = \dfrac{20}{8}

Then, we can simplify the fraction by dividing both the numerator and denominator by 4\mathbin{:}

\dfrac{20\div 4}{8\div 4} = \dfrac{5}{2}

FLAG

What is $22\div 8$ as an improper fraction?

a
$\dfrac{11}{2}$
b
$\dfrac{13}{2}$
c
$\dfrac{11}{4}$
d
$\dfrac{11}{3}$
e
$\dfrac{13}{4}$

What is $49\div 14$ as an improper fraction?

a
$ \dfrac{13}{7}$
b
$ \dfrac{9}{2}$
c
$ \dfrac{13}{3}$
d
$ \dfrac{7}{2}$
e
$ \dfrac{7}{3}$

Express \dfrac{8}{19} as an equivalent division problem:

EXPLANATION

A fraction may be interpreted as the division of the numerator by the denominator.

Therefore, we can represent the given fraction as

\dfrac{8}{19}=8\div 19.

FLAG

$\dfrac{2}{7}=$

a
$2\div 7$
b
$7\div 2$
c
$2-7$
d
$2\times 7$
e
$2+7$

$\dfrac{43}{7}=$

a
$43\div 7$
b
$43 + 1\div 7$
c
$1\div (43+ 7)$
d
$7\div 43$
e
$(1+43)\div 7$
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