Solve 5/4/frac{5{8}}=24/x

$$\frac{ \frac{ 5 }{ 4 } }{ \frac{ 5 }{ 8 } } = \frac{ 24 }{ x }$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{\frac{5}{4}}{\frac{5}{8}}=24$$

Divide \frac{5}{4} by \frac{5}{8} by multiplying \frac{5}{4} by the reciprocal of \frac{5}{8}.

$$x\times \frac{5}{4}\times \frac{8}{5}=24$$

Multiply \frac{5}{4} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{5\times 8}{4\times 5}=24$$

Cancel out 5 in both numerator and denominator.

$$x\times \frac{8}{4}=24$$

Divide 8 by 4 to get 2.

$$x\times 2=24$$

Divide both sides by 2.

$$x=\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$x=12$$