Solve 3/7xdiv8/14=7/8

$$\frac { 3 } { 7 } x \div \frac { 8 } { 14 } = \frac { 7 } { 8 }$$

Solve for x

$$x = \frac{7}{6} = 1\frac{1}{6} \approx 1.166666667$$

Steps for Solving Linear Equation

Divide \frac{3}{7}x by \frac{8}{14} by multiplying \frac{3}{7}x by the reciprocal of \frac{8}{14}.

$$\frac{\frac{3}{7}x\times 14}{8}=\frac{7}{8}$$

Express \frac{3}{7}\times 14 as a single fraction.

$$\frac{\frac{3\times 14}{7}x}{8}=\frac{7}{8}$$

Multiply 3 and 14 to get 42.

$$\frac{\frac{42}{7}x}{8}=\frac{7}{8}$$

Divide 42 by 7 to get 6.

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

Divide 6x by 8 to get \frac{3}{4}x.

$$\frac{3}{4}x=\frac{7}{8}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=\frac{7}{8}\times \frac{4}{3}$$

Multiply \frac{7}{8} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\times 4}{8\times 3}$$

Do the multiplications in the fraction \frac{7\times 4}{8\times 3}.

$$x=\frac{28}{24}$$

Reduce the fraction \frac{28}{24} to lowest terms by extracting and canceling out 4.

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