Solve (55-(9+6)div(2^2+2)=

$$(55-(9+6) \div ( { 2 }^{ 2 } +2)=$$

Evaluate

$$\frac{105}{2}=52.5$$

Solution Steps

Add 9 and 6 to get 15.

$$55-\frac{15}{2^{2}+2}$$

Calculate 2 to the power of 2 and get 4.

$$55-\frac{15}{4+2}$$

Add 4 and 2 to get 6.

$$55-\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$55-\frac{5}{2}$$

Convert 55 to fraction \frac{110}{2}.

$$\frac{110}{2}-\frac{5}{2}$$

Since \frac{110}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{110-5}{2}$$

Subtract 5 from 110 to get 105.

$$\frac{105}{2}$$

Factor

$$\frac{3 \cdot 5 \cdot 7}{2} = 52\frac{1}{2} = 52.5$$