# How do you simplify 3 7/8 - 1 1/5?

Nov 4, 2015

The answer is $\frac{107}{40}$ or $2 \frac{27}{40}$.

#### Explanation:

$3 \frac{7}{8} - 1 \frac{1}{5}$

Convert both mixed fractions to improper fractions.

$\frac{8 \times 3 + 7}{8} - \frac{5 \times 1 + 1}{5} =$

$\frac{31}{8} - \frac{6}{5}$

Determine the LCD by listing multiples.

$8 :$$8 , 16 , 24 , 32 , 40$

$5 :$$5 , 10 , 15 , 20 , 25 , 30 , 35 , 40$

The LCD is $40$.

Multiply each fraction by a number that will make both denominators $40$.

$\left(\frac{31}{8} \times \frac{5}{5}\right) - \left(\frac{6}{5} \times \frac{8}{8}\right) =$

$\frac{155}{40} - \frac{48}{40}$

Simplify.

$\frac{\left(155 - 48\right)}{40} =$

$\frac{107}{40}$