Solve -5/7(-14)*31/2*2/7=

$$- \frac { 5 } { 7 } ( - 14 ) \cdot 3 \frac { 1 } { 2 } \cdot \frac { 2 } { 7 } =$$

Evaluate

$$10$$

Solution Steps

Express -\frac{5}{7}\left(-14\right) as a single fraction.

$$\frac{-5\left(-14\right)}{7}\times \frac{3\times 2+1}{2}\times \frac{2}{7}$$

Multiply -5 and -14 to get 70.

$$\frac{70}{7}\times \frac{3\times 2+1}{2}\times \frac{2}{7}$$

Divide 70 by 7 to get 10.

$$10\times \frac{3\times 2+1}{2}\times \frac{2}{7}$$

Multiply 3 and 2 to get 6.

$$10\times \frac{6+1}{2}\times \frac{2}{7}$$

Add 6 and 1 to get 7.

$$10\times \frac{7}{2}\times \frac{2}{7}$$

Express 10\times \frac{7}{2} as a single fraction.

$$\frac{10\times 7}{2}\times \frac{2}{7}$$

Multiply 10 and 7 to get 70.

$$\frac{70}{2}\times \frac{2}{7}$$

Divide 70 by 2 to get 35.

$$35\times \frac{2}{7}$$

Express 35\times \frac{2}{7} as a single fraction.

$$\frac{35\times 2}{7}$$

Multiply 35 and 2 to get 70.

$$\frac{70}{7}$$

Divide 70 by 7 to get 10.

$$10$$

Factor

$$2\times 5$$