Solve 4/15*5/6*5/12

$$\frac { 4 } { 15 } \times \frac { 5 } { 6 } \times \frac { 5 } { 12 }$$

Evaluate

$$\frac{5}{54}\approx 0.092592593$$

Solution Steps

Multiply \frac{4}{15} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{15\times 6}\times \frac{5}{12}$$

Do the multiplications in the fraction \frac{4\times 5}{15\times 6}.

$$\frac{20}{90}\times \frac{5}{12}$$

Reduce the fraction \frac{20}{90} to lowest terms by extracting and canceling out 10.

$$\frac{2}{9}\times \frac{5}{12}$$

Multiply \frac{2}{9} times \frac{5}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{9\times 12}$$

Do the multiplications in the fraction \frac{2\times 5}{9\times 12}.

$$\frac{10}{108}$$

Reduce the fraction \frac{10}{108} to lowest terms by extracting and canceling out 2.

$$\frac{5}{54}$$

Factor

$$\frac{5}{2 \cdot 3 ^ {3}} = 0.09259259259259259$$