Solve (8/3*3/15):4/15

$$( \frac { 8 } { 3 } \times \frac { 3 } { 15 } ) : \frac { 4 } { 15 }$$

Evaluate

$$2$$

Solution Steps

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

$$\frac{\frac{8}{3}\times \frac{1}{5}}{\frac{4}{15}}$$

Multiply \frac{8}{3} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{8\times 1}{3\times 5}}{\frac{4}{15}}$$

Do the multiplications in the fraction \frac{8\times 1}{3\times 5}.

$$\frac{\frac{8}{15}}{\frac{4}{15}}$$

Divide \frac{8}{15} by \frac{4}{15} by multiplying \frac{8}{15} by the reciprocal of \frac{4}{15}.

$$\frac{8}{15}\times \frac{15}{4}$$

Multiply \frac{8}{15} times \frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 15}{15\times 4}$$

Cancel out 15 in both numerator and denominator.

$$\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$2$$

Factor

$$2$$