# How do you solve \frac { w - 3} { 3} = \frac { 2} { 5}?

May 14, 2017

$w = \frac{21}{5} = 4.2$

#### Explanation:

Solve: $\frac{w - 3}{3} = \frac{2}{5}$

We can cross-multiply:
$5 \left(w - 3\right) = 2 \left(3\right)$

Now, we can use the distributive property to distribute the 5:
$5 w - 15 = 6$

We can add $15$ to both sides:
$5 w = 15 + 6$
$5 w = 21$

Finally, we divide both sides by $5$:
$w = \frac{21}{5} = 4.2$

May 14, 2017

color(brown)(w=21/5 or  color(brown)(4 1/5

#### Explanation:

$\frac{w - 3}{3} = \frac{2}{5}$

$\therefore \frac{5 \left(w - 3\right) = 6}{15}$

$\therefore \frac{5 w - 15 = 6}{15}$

multiply L.H.S and R.H.S. by 15

$\therefore 5 w - 15 = 6$

$\therefore 5 w = 6 + 15$

$\therefore 5 w = 21$

:.color(brown)(w=21/5 or color(brown)(4 1/5