# Question 1894c

Jul 22, 2017

$x = \frac{7}{72}$

#### Explanation:

Multiply $\frac{9 x}{4 + 3} = \frac{1}{8}$ by 8

If that's what you mean, the solution is below;

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$\left[\frac{9 x}{4 + 3} = \frac{1}{8}\right] \times 8$

$\frac{9 x}{4 + 3} \times 8 = \frac{1}{8} \times 8$

$\frac{9 x}{7} \times 8 = \frac{1}{8} \times 8$

$\frac{9 x}{7} \times \frac{8}{1} = \frac{1}{8} \times \frac{8}{1}$

$\frac{9 x \times 8}{7} = \frac{1}{\cancel{8}} \times \frac{\cancel{8}}{1}$

$\frac{72 x}{7} = 1$

$\frac{72 x}{7} = \frac{1}{1}$

$72 x = 7$

$\cancel{72} \frac{x}{\cancel{72}} = \frac{7}{72}$

$x = \frac{7}{72}$