Solve 2/7*21/14*8/6=

$$\frac { 2 } { 7 } \times \frac { 21 } { 14 } \times \frac { 8 } { 6 } =$$

Evaluate

$$\frac{4}{7}\approx 0.571428571$$

Solution Steps

Reduce the fraction \frac{21}{14} to lowest terms by extracting and canceling out 7.

$$\frac{2}{7}\times \frac{3}{2}\times \frac{8}{6}$$

Multiply \frac{2}{7} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{7\times 2}\times \frac{8}{6}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3}{7}\times \frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{3}{7}\times \frac{4}{3}$$

Multiply \frac{3}{7} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{7\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4}{7}$$

Factor

$$\frac{2 ^ {2}}{7} = 0.5714285714285714$$