Solve 2-10/3/frac{5{6}}

$$\frac { 2 - \frac { 10 } { 3 } } { \frac { 5 } { 6 } }$$

Evaluate

$$-\frac{8}{5}=-1.6$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$\frac{\frac{6}{3}-\frac{10}{3}}{\frac{5}{6}}$$

Since \frac{6}{3} and \frac{10}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{6-10}{3}}{\frac{5}{6}}$$

Subtract 10 from 6 to get -4.

$$\frac{-\frac{4}{3}}{\frac{5}{6}}$$

Divide -\frac{4}{3} by \frac{5}{6} by multiplying -\frac{4}{3} by the reciprocal of \frac{5}{6}.

$$-\frac{4}{3}\times \frac{6}{5}$$

Multiply -\frac{4}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 6}{3\times 5}$$

Do the multiplications in the fraction \frac{-4\times 6}{3\times 5}.

$$\frac{-24}{15}$$

Reduce the fraction \frac{-24}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{8}{5}$$

Factor

$$-\frac{8}{5} = -1\frac{3}{5} = -1.6$$