Solve 5/8div(2-11/6

$$\frac { 5 } { 8 } \div ( 2 - 1 \frac { 1 } { 6 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{\frac{5}{8}}{2-\frac{6+1}{6}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{5}{8}}{2-\frac{7}{6}}$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{\frac{5}{8}}{\frac{12}{6}-\frac{7}{6}}$$

Since \frac{12}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5}{8}}{\frac{12-7}{6}}$$

Subtract 7 from 12 to get 5.

$$\frac{\frac{5}{8}}{\frac{5}{6}}$$

Divide \frac{5}{8} by \frac{5}{6} by multiplying \frac{5}{8} by the reciprocal of \frac{5}{6}.

$$\frac{5}{8}\times \frac{6}{5}$$

Multiply \frac{5}{8} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 6}{8\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$