Solve 5/6x=15/8

$$\frac{ 5 }{ 6 } x= \frac{ 15 }{ 8 }$$

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$x=\frac{15}{8}\times \frac{6}{5}$$

Multiply \frac{15}{8} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{15\times 6}{8\times 5}$$

Do the multiplications in the fraction \frac{15\times 6}{8\times 5}.

$$x=\frac{90}{40}$$

Reduce the fraction \frac{90}{40} to lowest terms by extracting and canceling out 10.

$$x=\frac{9}{4}$$