Solve 2/5+3/5=10+15/25=25/25

$$\frac { 2 } { 5 } + \frac { 3 } { 5 } = \frac { 10 + 15 } { 25 } = \frac { 25 } { 25 }$$

Verify

Solution Steps

Divide 25 by 25 to get 1.

$$\frac{2}{5}+\frac{3}{5}=\frac{10+15}{25}\text{ and }\frac{10+15}{25}=1$$

Since \frac{2}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{5}=\frac{10+15}{25}\text{ and }\frac{10+15}{25}=1$$

Add 2 and 3 to get 5.

$$\frac{5}{5}=\frac{10+15}{25}\text{ and }\frac{10+15}{25}=1$$

Divide 5 by 5 to get 1.

$$1=\frac{10+15}{25}\text{ and }\frac{10+15}{25}=1$$

Add 10 and 15 to get 25.

$$1=\frac{25}{25}\text{ and }\frac{10+15}{25}=1$$

Divide 25 by 25 to get 1.

$$1=1\text{ and }\frac{10+15}{25}=1$$

Compare 1 and 1.

$$\text{true}\text{ and }\frac{10+15}{25}=1$$

Add 10 and 15 to get 25.

$$\text{true}\text{ and }\frac{25}{25}=1$$

Divide 25 by 25 to get 1.

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

Compare 1 and 1.

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

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

$$\text{true}$$