Solve 32div8*5+5^2/2^2+2(15-2div1/2*3)

$$\frac { 32 \div 8 \times 5 + 5 ^ { 2 } } { 2 ^ { 2 } + 2 ( 15 - 2 \div 1 / 2 \times 3 ) }$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Divide 32 by 8 to get 4.

$$\frac{4\times 5+5^{2}}{2^{2}+2\left(15-\frac{2}{\frac{1}{2}}\times 3\right)}$$

Multiply 4 and 5 to get 20.

$$\frac{20+5^{2}}{2^{2}+2\left(15-\frac{2}{\frac{1}{2}}\times 3\right)}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{20+25}{2^{2}+2\left(15-\frac{2}{\frac{1}{2}}\times 3\right)}$$

Add 20 and 25 to get 45.

$$\frac{45}{2^{2}+2\left(15-\frac{2}{\frac{1}{2}}\times 3\right)}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{45}{4+2\left(15-\frac{2}{\frac{1}{2}}\times 3\right)}$$

Divide 2 by \frac{1}{2} by multiplying 2 by the reciprocal of \frac{1}{2}.

$$\frac{45}{4+2\left(15-2\times 2\times 3\right)}$$

Multiply 2 and 2 to get 4.

$$\frac{45}{4+2\left(15-4\times 3\right)}$$

Multiply 4 and 3 to get 12.

$$\frac{45}{4+2\left(15-12\right)}$$

Subtract 12 from 15 to get 3.

$$\frac{45}{4+2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{45}{4+6}$$

Add 4 and 6 to get 10.

$$\frac{45}{10}$$

Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$