Solve 4/7*14/15*20/27

$$\frac { 4 } { 7 } \times \frac { 14 } { 15 } \times \frac { 20 } { 27 }$$

Evaluate

$$\frac{32}{81}\approx 0.395061728$$

Solution Steps

Multiply \frac{4}{7} times \frac{14}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 14}{7\times 15}\times \frac{20}{27}$$

Do the multiplications in the fraction \frac{4\times 14}{7\times 15}.

$$\frac{56}{105}\times \frac{20}{27}$$

Reduce the fraction \frac{56}{105} to lowest terms by extracting and canceling out 7.

$$\frac{8}{15}\times \frac{20}{27}$$

Multiply \frac{8}{15} times \frac{20}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 20}{15\times 27}$$

Do the multiplications in the fraction \frac{8\times 20}{15\times 27}.

$$\frac{160}{405}$$

Reduce the fraction \frac{160}{405} to lowest terms by extracting and canceling out 5.

$$\frac{32}{81}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {4}} = 0.3950617283950617$$