Solve 14/5*2/7*49/6=

$$\frac { 14 } { 5 } \cdot \frac { 2 } { 7 } \cdot \frac { 49 } { 6 } =$$

Evaluate

$$\frac{98}{15}\approx 6.533333333$$

Solution Steps

Multiply \frac{14}{5} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 2}{5\times 7}\times \frac{49}{6}$$

Do the multiplications in the fraction \frac{14\times 2}{5\times 7}.

$$\frac{28}{35}\times \frac{49}{6}$$

Reduce the fraction \frac{28}{35} to lowest terms by extracting and canceling out 7.

$$\frac{4}{5}\times \frac{49}{6}$$

Multiply \frac{4}{5} times \frac{49}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 49}{5\times 6}$$

Do the multiplications in the fraction \frac{4\times 49}{5\times 6}.

$$\frac{196}{30}$$

Reduce the fraction \frac{196}{30} to lowest terms by extracting and canceling out 2.

$$\frac{98}{15}$$

Factor

$$\frac{2 \cdot 7 ^ {2}}{3 \cdot 5} = 6\frac{8}{15} = 6.533333333333333$$