Solve -6div(-2/5)*7/3=

$$- 6 \div ( - \frac { 2 } { 5 } ) \times \frac { 7 } { 3 } =$$

Evaluate

$$35$$

Solution Steps

Divide -6 by -\frac{2}{5} by multiplying -6 by the reciprocal of -\frac{2}{5}.

$$-6\left(-\frac{5}{2}\right)\times \frac{7}{3}$$

Express -6\left(-\frac{5}{2}\right) as a single fraction.

$$\frac{-6\left(-5\right)}{2}\times \frac{7}{3}$$

Multiply -6 and -5 to get 30.

$$\frac{30}{2}\times \frac{7}{3}$$

Divide 30 by 2 to get 15.

$$15\times \frac{7}{3}$$

Express 15\times \frac{7}{3} as a single fraction.

$$\frac{15\times 7}{3}$$

Multiply 15 and 7 to get 105.

$$\frac{105}{3}$$

Divide 105 by 3 to get 35.

$$35$$

Factor

$$5\times 7$$