Solve x:5/14=21:5/8

$$x : \frac { 5 } { 14 } = 21 : \frac { 5 } { 8 }$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Divide 21 by \frac{5}{8} by multiplying 21 by the reciprocal of \frac{5}{8}.

$$\frac{x}{\frac{5}{14}}=21\times \frac{8}{5}$$

Express 21\times \frac{8}{5} as a single fraction.

$$\frac{x}{\frac{5}{14}}=\frac{21\times 8}{5}$$

Multiply 21 and 8 to get 168.

$$\frac{x}{\frac{5}{14}}=\frac{168}{5}$$

Multiply both sides by \frac{5}{14}.

$$x=\frac{168}{5}\times \frac{5}{14}$$

Multiply \frac{168}{5} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{168\times 5}{5\times 14}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{168}{14}$$

Divide 168 by 14 to get 12.

$$x=12$$