Solve xdiv5/6=6/5div6/7

$$x \div \frac{ 5 }{ 6 } = \frac{ 6 }{ 5 } \div \frac{ 6 }{ 7 }$$

Solve for x

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

Steps for Solving Linear Equation

Divide \frac{6}{5} by \frac{6}{7} by multiplying \frac{6}{5} by the reciprocal of \frac{6}{7}.

$$\frac{x}{\frac{5}{6}}=\frac{6}{5}\times \frac{7}{6}$$

Multiply \frac{6}{5} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{\frac{5}{6}}=\frac{6\times 7}{5\times 6}$$

Cancel out 6 in both numerator and denominator.

$$\frac{x}{\frac{5}{6}}=\frac{7}{5}$$

Multiply both sides by \frac{5}{6}.

$$x=\frac{7}{5}\times \frac{5}{6}$$

Multiply \frac{7}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\times 5}{5\times 6}$$

Cancel out 5 in both numerator and denominator.

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