Solve 5/8-2/3:4/15

$$\frac { 5 } { 8 } - \frac { 2 } { 3 } : \frac { 4 } { 15 }$$

Evaluate

$$-\frac{15}{8}=-1.875$$

Solution Steps

Divide \frac{2}{3} by \frac{4}{15} by multiplying \frac{2}{3} by the reciprocal of \frac{4}{15}.

$$\frac{5}{8}-\frac{2}{3}\times \frac{15}{4}$$

Multiply \frac{2}{3} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{8}-\frac{2\times 15}{3\times 4}$$

Do the multiplications in the fraction \frac{2\times 15}{3\times 4}.

$$\frac{5}{8}-\frac{30}{12}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

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

Least common multiple of 8 and 2 is 8. Convert \frac{5}{8} and \frac{5}{2} to fractions with denominator 8.

$$\frac{5}{8}-\frac{20}{8}$$

Since \frac{5}{8} and \frac{20}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-20}{8}$$

Subtract 20 from 5 to get -15.

$$-\frac{15}{8}$$

Factor

$$-\frac{15}{8} = -1\frac{7}{8} = -1.875$$