Solve x:4/5=7/8:1/2

$$x : \frac { 4 } { 5 } = \frac { 7 } { 8 } : \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Divide \frac{7}{8} by \frac{1}{2} by multiplying \frac{7}{8} by the reciprocal of \frac{1}{2}.

$$\frac{x}{\frac{4}{5}}=\frac{7}{8}\times 2$$

Express \frac{7}{8}\times 2 as a single fraction.

$$\frac{x}{\frac{4}{5}}=\frac{7\times 2}{8}$$

Multiply 7 and 2 to get 14.

$$\frac{x}{\frac{4}{5}}=\frac{14}{8}$$

Reduce the fraction \frac{14}{8} to lowest terms by extracting and canceling out 2.

$$\frac{x}{\frac{4}{5}}=\frac{7}{4}$$

Multiply both sides by \frac{4}{5}.

$$x=\frac{7}{4}\times \frac{4}{5}$$

Multiply \frac{7}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\times 4}{4\times 5}$$

Cancel out 4 in both numerator and denominator.

$$x=\frac{7}{5}$$