# What is 43/10- 3 3/5?

Mar 8, 2018

$\frac{7}{10}$

#### Explanation:

$4 \frac{3}{10}$ can be written as an improper fraction
$\textcolor{w h i t e}{\text{XXX}} \frac{4 \times 10 + 3}{10} = \frac{43}{10}$

$3 \frac{3}{5}$ can be written as an improper fraction
$\textcolor{w h i t e}{\text{XXX}} \frac{3 \times 5 + 3}{5} = \left(\frac{18}{5}\right)$

$\frac{18}{5}$ can be written with a denominator of $10$ to match the $4 \frac{3}{10} = \frac{43}{10}$ term
$\textcolor{w h i t e}{\text{XXX}} \frac{18 \times 2}{5 \times 2} = \frac{36}{10}$

Therefore
$\textcolor{w h i t e}{\text{XXX}} 4 \frac{3}{10} - 3 \frac{3}{5}$
is equivalent to
$\textcolor{w h i t e}{\text{XXX}} \frac{43}{10} - \frac{36}{10}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{7}{10}$