Solve 20/18*12/15*9/16=

$$\frac { 20 } { 18 } \times \frac { 12 } { 15 } \times \frac { 9 } { 16 } =$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{20}{18} to lowest terms by extracting and canceling out 2.

$$\frac{10}{9}\times \frac{12}{15}\times \frac{9}{16}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{10}{9}\times \frac{4}{5}\times \frac{9}{16}$$

Multiply \frac{10}{9} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 4}{9\times 5}\times \frac{9}{16}$$

Do the multiplications in the fraction \frac{10\times 4}{9\times 5}.

$$\frac{40}{45}\times \frac{9}{16}$$

Reduce the fraction \frac{40}{45} to lowest terms by extracting and canceling out 5.

$$\frac{8}{9}\times \frac{9}{16}$$

Multiply \frac{8}{9} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 9}{9\times 16}$$

Cancel out 9 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

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