Addition of Fifth Fractions: Finding the Sum of 1/5 and 2/5

Question

Solve the following exercise:

15+25=? \frac{1}{5}+\frac{2}{5}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Let's add the fractions under a common denominator
00:11 Let's calculate the numerator
00:16 And this is the solution to the question

Step-by-Step Solution

To solve the problem of adding 15\frac{1}{5} and 25\frac{2}{5}, follow these steps:

Step 1: Identify the denominators

Both fractions, 15\frac{1}{5} and 25\frac{2}{5}, have the common denominator of 5. This simplifies the addition process since we only need to add the numerators.

Step 2: Add the numerators

When adding fractions with the same denominator, keep the denominator unchanged:

15+25=1+25 \frac{1}{5} + \frac{2}{5} = \frac{1 + 2}{5}

Step 3: Perform the addition

Add the numerators: 1+2=3 1 + 2 = 3 . So, the sum is:

35 \frac{3}{5}

Therefore, the solution to the problem is 35 \frac{3}{5} .

Answer

35 \frac{3}{5}