Solve 3/10:1/8=x:5/8

$$\frac { 3 } { 10 } : \frac { 1 } { 8 } = x : \frac { 5 } { 8 }$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Divide \frac{3}{10} by \frac{1}{8} by multiplying \frac{3}{10} by the reciprocal of \frac{1}{8}.

$$\frac{3}{10}\times 8=\frac{x}{\frac{5}{8}}$$

Express \frac{3}{10}\times 8 as a single fraction.

$$\frac{3\times 8}{10}=\frac{x}{\frac{5}{8}}$$

Multiply 3 and 8 to get 24.

$$\frac{24}{10}=\frac{x}{\frac{5}{8}}$$

Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{12}{5}=\frac{x}{\frac{5}{8}}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{\frac{5}{8}}=\frac{12}{5}$$

Multiply both sides by \frac{5}{8}.

$$x=\frac{12}{5}\times \frac{5}{8}$$

Multiply \frac{12}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{12\times 5}{5\times 8}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{12}{8}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{3}{2}$$