# How do you solve x + \frac { 1} { 3} = \frac { 4} { 3}?

Mar 26, 2017

$x = 1$

#### Explanation:

Subtract $\frac{1}{3}$ from both sides of the equation

$x = \frac{4}{3} - \frac{1}{3}$

Since the denominators are the same, we simply subtract the numerators

$x = \frac{3}{3}$

A number divided by itself is 1

$x = \frac{\cancel{3}}{\cancel{3}}$

$x = 1$

Mar 29, 2017

$x + \frac{1}{3} = \frac{1}{4}$
$x = \frac{1}{4} - \frac{1}{3}$
$x = \frac{1 - 1}{3}$
$x = \frac{1}{3}$

Mar 29, 2017

color(blue)(x=1

#### Explanation:

$x + \frac{1}{3} = \frac{4}{3}$

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

$\therefore x = \frac{3}{3}$

:.color(blue)(x=1

check:

substitute $x = \frac{3}{3}$

$\therefore \frac{3}{3} + \frac{1}{3} = \frac{4}{3}$

$\therefore \frac{4}{3} = \frac{4}{3}$