# How do you solve 9/8=(k+6)/6?

Sep 1, 2016

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

#### Explanation:

$\frac{9}{8} = \frac{k + 6}{6}$

$9 \cdot 6 = 8 \cdot \left(k + 6\right)$

$54 = 8 k + 48$

$54 - 48 = 8 k$

$6 = 8 k$

$k = \frac{6}{8}$

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

Sep 1, 2016

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

#### Explanation:

If an equation has one fraction on each side of the equal side, we can get rid of the brackets by cross-multiplying.

$\frac{9}{8} = \frac{k + 6}{6}$

$8 \left(k + 6\right) = 9 \times 6$

$8 k + 48 = 54$

$8 k = 6$

$k = \frac{6}{8} = \frac{3}{4}$