Solve the Addition: 1/5 + 1/5 with Same Denominators

Question

Solve the following exercise:

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

Video Solution

Solution Steps

00:00 Solve
00:03 Let's divide our whole rectangle into 5 parts
00:08 Let's color the appropriate parts for each fraction
00:11 Let's combine all the colored parts and place in the numerator
00:19 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll add two fractions with a common denominator:

  • Step 1: Identify the numerators and the common denominator of the fractions.
  • Step 2: Add the numerators, keeping the denominator unchanged.

Let's do this for our given fractions:

We have the fractions 15 \frac{1}{5} and 15 \frac{1}{5} . Both have the same denominator, which is 5.
Step 1: The numerators are 1 and 1, and the common denominator is 5.

Step 2: Add the numerators while keeping the denominator same:
15+15=1+15=25\frac{1}{5} + \frac{1}{5} = \frac{1 + 1}{5} = \frac{2}{5}.

Thus, the solution to the problem is 25 \frac{2}{5} .

Answer

25 \frac{2}{5}