Solve 15/9*8/25div20/7

$$\frac { 15 } { 9 } \times \frac { 8 } { 25 } \div \frac { 20 } { 7 }$$

Evaluate

$$\frac{14}{75}\approx 0.186666667$$

Solution Steps

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{5}{3}\times \frac{8}{25}}{\frac{20}{7}}$$

Multiply \frac{5}{3} times \frac{8}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 8}{3\times 25}}{\frac{20}{7}}$$

Do the multiplications in the fraction \frac{5\times 8}{3\times 25}.

$$\frac{\frac{40}{75}}{\frac{20}{7}}$$

Reduce the fraction \frac{40}{75} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{8}{15}}{\frac{20}{7}}$$

Divide \frac{8}{15} by \frac{20}{7} by multiplying \frac{8}{15} by the reciprocal of \frac{20}{7}.

$$\frac{8}{15}\times \frac{7}{20}$$

Multiply \frac{8}{15} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{15\times 20}$$

Do the multiplications in the fraction \frac{8\times 7}{15\times 20}.

$$\frac{56}{300}$$

Reduce the fraction \frac{56}{300} to lowest terms by extracting and canceling out 4.

$$\frac{14}{75}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5 ^ {2}} = 0.18666666666666668$$