Solve the Fraction Addition: 2/7 + 3/7 Step by Step

Question

Solve the following exercise:

27+37=? \frac{2}{7}+\frac{3}{7}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Let's divide our complete rectangle into 7 parts
00:09 Let's color the parts corresponding to each fraction
00:15 Let's combine all the colored parts, and place in the numerator
00:21 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to add the fractions 27\frac{2}{7} and 37\frac{3}{7}. Since both fractions have the same denominator, the process is simple:

  • Step 1: Verify the fractions have a common denominator, which is 7.
  • Step 2: Add the numerators together. Thus, 2+3=52 + 3 = 5.
  • Step 3: Keep the common denominator unchanged.

By adding the numerators 22 and 33, we obtain 55, and the denominator remains 77. Therefore, the resulting fraction is 57\frac{5}{7}.

This matches the given correct answer.

Hence, the solution to the problem is 57 \frac{5}{7} .

Answer

57 \frac{5}{7}