Solve (21/15)(8/24)(5/14)

$$( \frac{ 21 }{ 15 } )( \frac{ 8 }{ 24 } )( \frac{ 5 }{ 14 } )$$

Evaluate

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

Solution Steps

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

$$\frac{7}{5}\times \frac{8}{24}\times \frac{5}{14}$$

Reduce the fraction \frac{8}{24} to lowest terms by extracting and canceling out 8.

$$\frac{7}{5}\times \frac{1}{3}\times \frac{5}{14}$$

Multiply \frac{7}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{5\times 3}\times \frac{5}{14}$$

Do the multiplications in the fraction \frac{7\times 1}{5\times 3}.

$$\frac{7}{15}\times \frac{5}{14}$$

Multiply \frac{7}{15} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{15\times 14}$$

Do the multiplications in the fraction \frac{7\times 5}{15\times 14}.

$$\frac{35}{210}$$

Reduce the fraction \frac{35}{210} to lowest terms by extracting and canceling out 35.

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

Factor

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