Solve 45:{-2+12:(-7+3)+12-[(-24):((-3)*5+7)]+5}

$$45 : \{ - 2 + 12 : ( - 7 + 3 ) + 12 - [ ( - 24 ) : ( ( - 3 ) \cdot 5 + 7 ) ] + 5 \}$$

Evaluate

$$5$$

Solution Steps

Add -7 and 3 to get -4.

$$\frac{45}{-2+\frac{12}{-4}+12-\frac{-24}{-3\times 5+7}+5}$$

Divide 12 by -4 to get -3.

$$\frac{45}{-2-3+12-\frac{-24}{-3\times 5+7}+5}$$

Subtract 3 from -2 to get -5.

$$\frac{45}{-5+12-\frac{-24}{-3\times 5+7}+5}$$

Add -5 and 12 to get 7.

$$\frac{45}{7-\frac{-24}{-3\times 5+7}+5}$$

Multiply -3 and 5 to get -15.

$$\frac{45}{7-\frac{-24}{-15+7}+5}$$

Add -15 and 7 to get -8.

$$\frac{45}{7-\frac{-24}{-8}+5}$$

Divide -24 by -8 to get 3.

$$\frac{45}{7-3+5}$$

Subtract 3 from 7 to get 4.

$$\frac{45}{4+5}$$

Add 4 and 5 to get 9.

$$\frac{45}{9}$$

Divide 45 by 9 to get 5.

$$5$$

Factor

$$5$$