Solve -10*7/2*3/-9

$$- 10 \cdot \frac { 7 } { 2 } \cdot \frac { 3 } { - 9 }$$

Evaluate

$$\frac{35}{3}\approx 11.666666667$$

Solution Steps

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

$$\frac{-10\times 7}{2}\times \frac{3}{-9}$$

Multiply -10 and 7 to get -70.

$$\frac{-70}{2}\times \frac{3}{-9}$$

Divide -70 by 2 to get -35.

$$-35\times \frac{3}{-9}$$

Reduce the fraction \frac{3}{-9} to lowest terms by extracting and canceling out 3.

$$-35\left(-\frac{1}{3}\right)$$

Express -35\left(-\frac{1}{3}\right) as a single fraction.

$$\frac{-35\left(-1\right)}{3}$$

Multiply -35 and -1 to get 35.

$$\frac{35}{3}$$

Factor

$$\frac{5 \cdot 7}{3} = 11\frac{2}{3} = 11.666666666666666$$