Solve 5/16*14/25*15/21

$$\frac{ 5 }{ 16 } \times \frac{ 14 }{ 25 } \times \frac{ 15 }{ 21 }$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Multiply \frac{5}{16} times \frac{14}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 14}{16\times 25}\times \frac{15}{21}$$

Do the multiplications in the fraction \frac{5\times 14}{16\times 25}.

$$\frac{70}{400}\times \frac{15}{21}$$

Reduce the fraction \frac{70}{400} to lowest terms by extracting and canceling out 10.

$$\frac{7}{40}\times \frac{15}{21}$$

Reduce the fraction \frac{15}{21} to lowest terms by extracting and canceling out 3.

$$\frac{7}{40}\times \frac{5}{7}$$

Multiply \frac{7}{40} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{40\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{5}{40}$$

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

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$