Solve 7*2/5/6100/5656/2

$$\frac{ 7 \times \frac{ 2 }{ 5 } }{ 6 } \frac { 100 } { 5 } \frac { 656 } { 2 }$$

Evaluate

$$\frac{9184}{3}\approx 3061.333333333$$

Solution Steps

Express 7\times \frac{2}{5} as a single fraction.

$$\frac{\frac{7\times 2}{5}}{6}\times \frac{100}{5}\times \frac{656}{2}$$

Multiply 7 and 2 to get 14.

$$\frac{\frac{14}{5}}{6}\times \frac{100}{5}\times \frac{656}{2}$$

Express \frac{\frac{14}{5}}{6} as a single fraction.

$$\frac{14}{5\times 6}\times \frac{100}{5}\times \frac{656}{2}$$

Multiply 5 and 6 to get 30.

$$\frac{14}{30}\times \frac{100}{5}\times \frac{656}{2}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}\times \frac{100}{5}\times \frac{656}{2}$$

Divide 100 by 5 to get 20.

$$\frac{7}{15}\times 20\times \frac{656}{2}$$

Express \frac{7}{15}\times 20 as a single fraction.

$$\frac{7\times 20}{15}\times \frac{656}{2}$$

Multiply 7 and 20 to get 140.

$$\frac{140}{15}\times \frac{656}{2}$$

Reduce the fraction \frac{140}{15} to lowest terms by extracting and canceling out 5.

$$\frac{28}{3}\times \frac{656}{2}$$

Divide 656 by 2 to get 328.

$$\frac{28}{3}\times 328$$

Express \frac{28}{3}\times 328 as a single fraction.

$$\frac{28\times 328}{3}$$

Multiply 28 and 328 to get 9184.

$$\frac{9184}{3}$$

Factor

$$\frac{2 ^ {5} \cdot 7 \cdot 41}{3} = 3061\frac{1}{3} = 3061.3333333333335$$