Solve 60-(-15)+(-13)/-3^2+5^2

$$\frac { 60 - ( - 15 ) + ( - 13 ) } { - 3 ^ { 2 } + 5 ^ { 2 } }$$

Evaluate

$$\frac{31}{8}=3.875$$

Solution Steps

The opposite of -15 is 15.

$$\frac{60+15-13}{-3^{2}+5^{2}}$$

Add 60 and 15 to get 75.

$$\frac{75-13}{-3^{2}+5^{2}}$$

Subtract 13 from 75 to get 62.

$$\frac{62}{-3^{2}+5^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{62}{-9+5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{62}{-9+25}$$

Add -9 and 25 to get 16.

$$\frac{62}{16}$$

Reduce the fraction \frac{62}{16} to lowest terms by extracting and canceling out 2.

$$\frac{31}{8}$$

Factor

$$\frac{31}{2 ^ {3}} = 3\frac{7}{8} = 3.875$$