Solve 3/8+(-5/6)div10/3

$$\frac { 3 } { 8 } + ( - \frac { 5 } { 6 } ) \div \frac { 10 } { 3 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Divide -\frac{5}{6} by \frac{10}{3} by multiplying -\frac{5}{6} by the reciprocal of \frac{10}{3}.

$$\frac{3}{8}-\frac{5}{6}\times \frac{3}{10}$$

Multiply -\frac{5}{6} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}+\frac{-5\times 3}{6\times 10}$$

Do the multiplications in the fraction \frac{-5\times 3}{6\times 10}.

$$\frac{3}{8}+\frac{-15}{60}$$

Reduce the fraction \frac{-15}{60} to lowest terms by extracting and canceling out 15.

$$\frac{3}{8}-\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{3}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{3}{8}-\frac{2}{8}$$

Since \frac{3}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{8}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$