Q11. - Algebra 1

Question

The simplified form of $\frac{2}{5}+\frac{1}{5}$.

Step-by-Step Solution

Answer

The simplified form of $\frac{2}{5}+\frac{1}{5}$ is $\frac{3}{5}$.

Step 1.

The statement “$\frac{2}{5}+\frac{1}{5}$.”

Step 2. Concept.

When two or more fractions with same denominators are added then only numerators are added, denominator remains unchanged.

Step 3. Calculation.

Consider the provided statement “$\frac{2}{5}+\frac{1}{5}$.”

 

Recall that when two fractions having the same denominator are added then only numerators are added, the denominator remains unchanged.

So, the given expression can be simplified as,

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

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

Step 4. Recheck.

Since, $\frac{3}{5}$ cannot be simplified further,

 

Hence, the simplified form of $\frac{2}{5}+\frac{1}{5}$ is $\frac{3}{5}$.