Express $\frac{\frac{7}{8}}{12}$ as a single fraction.
$$\frac{x}{45-x}=\frac{7}{8\times 12}$$
Multiply $8$ and $12$ to get $96$.
$$\frac{x}{45-x}=\frac{7}{96}$$
Variable $x$ cannot be equal to $45$ since division by zero is not defined. Multiply both sides of the equation by $96\left(x-45\right)$, the least common multiple of $45-x,96$.
$$-96x=7\left(x-45\right)$$
Use the distributive property to multiply $7$ by $x-45$.
$$-96x=7x-315$$
Subtract $7x$ from both sides.
$$-96x-7x=-315$$
Combine $-96x$ and $-7x$ to get $-103x$.
$$-103x=-315$$
Divide both sides by $-103$.
$$x=\frac{-315}{-103}$$
Fraction $\frac{-315}{-103}$ can be simplified to $\frac{315}{103}$ by removing the negative sign from both the numerator and the denominator.
