# What do you add to 5 4/7 to make 7?

Nov 8, 2016

$1 \frac{3}{7}$

#### Explanation:

Converting both $5 \frac{4}{7}$ and $7$ to improper fractions with a denominator of $7$
$\textcolor{w h i t e}{\text{XXX}} 5 \frac{4}{7} \rightarrow \frac{39}{7}$
$\textcolor{w h i t e}{\text{XXX}} 7 \rightarrow \frac{49}{7}$

We are being asked for the value of $x$ such that
$\textcolor{w h i t e}{\text{XXX}} \frac{39}{7} + x = \frac{49}{7}$

subtracting $\frac{39}{7}$ from both sides
$\textcolor{w h i t e}{\text{XXX}} x = \frac{10}{7}$

or as a mixed fraction $x = 1 \frac{3}{7}$