Solve x-5/6x=1/7*5/8

$$x- \frac{ 5 }{ 6 } x = \frac{ 1 }{ 7 } \times \frac{ 5 }{ 8 }$$

Solve for x

$$x=\frac{15}{28}\approx 0.535714286$$

Steps for Solving Linear Equation

Combine x and -\frac{5}{6}x to get \frac{1}{6}x.

$$\frac{1}{6}x=\frac{1}{7}\times \frac{5}{8}$$

Multiply \frac{1}{7} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{6}x=\frac{1\times 5}{7\times 8}$$

Do the multiplications in the fraction \frac{1\times 5}{7\times 8}.

$$\frac{1}{6}x=\frac{5}{56}$$

Multiply both sides by 6, the reciprocal of \frac{1}{6}.

$$x=\frac{5}{56}\times 6$$

Express \frac{5}{56}\times 6 as a single fraction.

$$x=\frac{5\times 6}{56}$$

Multiply 5 and 6 to get 30.

$$x=\frac{30}{56}$$

Reduce the fraction \frac{30}{56} to lowest terms by extracting and canceling out 2.

$$x=\frac{15}{28}$$