Solve 6/5*4/9*15/16

$$\frac { 6 } { 5 } \times \frac { 4 } { 9 } \times \frac { 15 } { 16 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply \frac{6}{5} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 4}{5\times 9}\times \frac{15}{16}$$

Do the multiplications in the fraction \frac{6\times 4}{5\times 9}.

$$\frac{24}{45}\times \frac{15}{16}$$

Reduce the fraction \frac{24}{45} to lowest terms by extracting and canceling out 3.

$$\frac{8}{15}\times \frac{15}{16}$$

Multiply \frac{8}{15} times \frac{15}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 15}{15\times 16}$$

Cancel out 15 in both numerator and denominator.

$$\frac{8}{16}$$

Reduce the fraction \frac{8}{16} to lowest terms by extracting and canceling out 8.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$