Solve 9/4*16/15*20/21

$$\frac { 9 } { 4 } \times \frac { 16 } { 15 } \times \frac { 20 } { 21 }$$

Evaluate

$$\frac{16}{7}\approx 2.285714286$$

Solution Steps

Multiply \frac{9}{4} times \frac{16}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 16}{4\times 15}\times \frac{20}{21}$$

Do the multiplications in the fraction \frac{9\times 16}{4\times 15}.

$$\frac{144}{60}\times \frac{20}{21}$$

Reduce the fraction \frac{144}{60} to lowest terms by extracting and canceling out 12.

$$\frac{12}{5}\times \frac{20}{21}$$

Multiply \frac{12}{5} times \frac{20}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 20}{5\times 21}$$

Do the multiplications in the fraction \frac{12\times 20}{5\times 21}.

$$\frac{240}{105}$$

Reduce the fraction \frac{240}{105} to lowest terms by extracting and canceling out 15.

$$\frac{16}{7}$$

Factor

$$\frac{2 ^ {4}}{7} = 2\frac{2}{7} = 2.2857142857142856$$