Adding Fractions with Like Denominators: Fifth Fractions Exercise

Question

Solve the following exercise:

15+35=? \frac{1}{5}+\frac{3}{5}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Let's divide our complete rectangle into 5 parts
00:06 Let's color one part green
00:09 And let's color 3 parts red
00:12 Let's add all the colored parts and put them in the numerator
00:15 And this is our solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given fractions and their common denominator.
  • Step 2: Add the numerators and maintain the same denominator.
  • Step 3: Simplify the resulting fraction if necessary.

Now, let's work through each step:
Step 1: The fractions given are 15 \frac{1}{5} and 35 \frac{3}{5} . They have a common denominator of 5.
Step 2: To add these fractions, we compute 15+35=1+35 \frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} .
Step 3: Simplifying the fraction, we get 45 \frac{4}{5} .

Therefore, the solution to the problem is 45 \frac{4}{5} .

Answer

45 \frac{4}{5}