Solve 2/9*15/16*4/5

$$\frac { 2 } { 9 } \times \frac { 15 } { 16 } \times \frac { 4 } { 5 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply \frac{2}{9} times \frac{15}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 15}{9\times 16}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{2\times 15}{9\times 16}.

$$\frac{30}{144}\times \frac{4}{5}$$

Reduce the fraction \frac{30}{144} to lowest terms by extracting and canceling out 6.

$$\frac{5}{24}\times \frac{4}{5}$$

Multiply \frac{5}{24} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{24\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{24}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$