Solve quad1/2+1/2=3+2/5=5

$$\quad \frac { 1 } { 2 } + \frac { 1 } { 2 } = \frac { 3 + 2 } { 5 } = 5$$

Verify

Solution Steps

Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{2}=\frac{3+2}{5}\text{ and }\frac{3+2}{5}=5$$

Add 1 and 1 to get 2.

$$\frac{2}{2}=\frac{3+2}{5}\text{ and }\frac{3+2}{5}=5$$

Divide 2 by 2 to get 1.

$$1=\frac{3+2}{5}\text{ and }\frac{3+2}{5}=5$$

Add 3 and 2 to get 5.

$$1=\frac{5}{5}\text{ and }\frac{3+2}{5}=5$$

Divide 5 by 5 to get 1.

$$1=1\text{ and }\frac{3+2}{5}=5$$

Compare 1 and 1.

$$\text{true}\text{ and }\frac{3+2}{5}=5$$

Add 3 and 2 to get 5.

$$\text{true}\text{ and }\frac{5}{5}=5$$

Divide 5 by 5 to get 1.

$$\text{true}\text{ and }1=5$$

Compare 1 and 5.

$$\text{true}\text{ and }\text{false}$$

The conjunction of \text{true} and \text{false} is \text{false}.

$$\text{false}$$