# How do you solve x- \frac { 3} { 4} = 3\frac { 3} { 5}?

##### 2 Answers
Mar 18, 2017

x= $\frac{87}{20}$ or 4.35

#### Explanation:

Convert all mixed fractions to improper fractions

$3 \cdot \frac{3}{5}$= $\frac{5 \left(3\right) + 3}{5}$= $\frac{18}{5}$

Bring all like terms to one side by adding $\frac{3}{4}$ to the other side

x=$\frac{18}{5}$+$\frac{3}{4}$

Find the gcf and add the fractions to get :

x= $\frac{87}{20}$

ANSWER: x= $\frac{87}{20}$

Mar 20, 2017

$4 \frac{7}{20}$

#### Explanation:

$x - \frac{3}{4} = 3 \frac{3}{5}$

$\therefore \frac{x}{1} - \frac{3}{4} = \frac{18}{5}$

$\therefore \frac{20 x - 15 = 72}{20}$

multiply L.H.S. and R.H.S. by 20

$\therefore 20 x - 15 = 72$

$\therefore 20 x = 72 + 15$

$\therefore 20 x = 87$

$\therefore x = \frac{87}{20}$

$\therefore x = 4 \frac{7}{20}$