# How do you solve 2\frac { 1} { 3} + w = 4\frac { 2} { 9}?

Jun 26, 2017

See explanation

#### Explanation:

$2 \frac{1}{3} + w = 4 \frac{2}{9}$

$w = 4 \frac{2}{9} - 2 \frac{1}{3}$

$w = \frac{38}{9} - \frac{7}{3}$

$w = \frac{38}{9} - \frac{21}{9}$

$w = \frac{17}{9}$

$w = 1 \frac{8}{9}$

Aug 3, 2017

$1 \frac{8}{9}$

#### Explanation:

$2 \frac{1}{3} + w = 4 \frac{2}{9} \text{ } \leftarrow$ isolate the $w$ by subtracting $2 \frac{1}{3}$

$w = 4 \frac{2}{9} - 2 \frac{1}{3}$

You can work with the whole numbers and the fractions separately.

$w = 2 \frac{2 - 3}{9} \text{ } \leftarrow$ convert a whole number to $\frac{9}{9}$

$w = 1 \frac{9 + 2 - 3}{9}$

$w = 1 \frac{8}{9}$