Solve x/6=7/8/frac{1{4}}

$$\frac{ x }{ 6 } = \frac{ \frac{ 7 }{ 8 } }{ \frac{ 1 }{ 4 } }$$

Solve for x

$$x=21$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$x=6\times \frac{\frac{7}{8}}{\frac{1}{4}}$$

Divide \frac{7}{8} by \frac{1}{4} by multiplying \frac{7}{8} by the reciprocal of \frac{1}{4}.

$$x=6\times \frac{7}{8}\times 4$$

Express \frac{7}{8}\times 4 as a single fraction.

$$x=6\times \frac{7\times 4}{8}$$

Multiply 7 and 4 to get 28.

$$x=6\times \frac{28}{8}$$

Reduce the fraction \frac{28}{8} to lowest terms by extracting and canceling out 4.

$$x=6\times \frac{7}{2}$$

Express 6\times \frac{7}{2} as a single fraction.

$$x=\frac{6\times 7}{2}$$

Multiply 6 and 7 to get 42.

$$x=\frac{42}{2}$$

Divide 42 by 2 to get 21.

$$x=21$$