Solve 2/3div4/15*5/8

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

Evaluate

$$\frac{25}{16}=1.5625$$

Solution Steps

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

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

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

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

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

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

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

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

Multiply \frac{5}{2} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 5}{2\times 8}.

$$\frac{25}{16}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$