Solve -0.24div22/3*(-10)^2

$$- 0.24 \div 2 \frac { 2 } { 3 } \times ( - 10 ) ^ { 2 }$$

Evaluate

$$-9$$

Solution Steps

Divide -0.24 by \frac{2\times 3+2}{3} by multiplying -0.24 by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{-0.24\times 3}{2\times 3+2}\left(-10\right)^{2}$$

Multiply -0.24 and 3 to get -0.72.

$$\frac{-0.72}{2\times 3+2}\left(-10\right)^{2}$$

Multiply 2 and 3 to get 6.

$$\frac{-0.72}{6+2}\left(-10\right)^{2}$$

Add 6 and 2 to get 8.

$$\frac{-0.72}{8}\left(-10\right)^{2}$$

Expand \frac{-0.72}{8} by multiplying both numerator and the denominator by 100.

$$\frac{-72}{800}\left(-10\right)^{2}$$

Reduce the fraction \frac{-72}{800} to lowest terms by extracting and canceling out 8.

$$-\frac{9}{100}\left(-10\right)^{2}$$

Calculate -10 to the power of 2 and get 100.

$$-\frac{9}{100}\times 100$$

Cancel out 100 and 100.

$$-9$$

Factor

$$-9$$