Solve the Fraction Addition: 3/7 + 1/7 Step-by-Step

Question

Solve the following exercise:

37+17=? \frac{3}{7}+\frac{1}{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
00:16 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 of adding fractions with like denominators, we will follow these steps:

  • Step 1: Identify and confirm that the denominators of both fractions are the same. Here, both fractions have the denominator 77.
  • Step 2: Add the numerators of both fractions: 3+1=43 + 1 = 4.
  • Step 3: Keep the common denominator, which is 77.
  • Step 4: Write the resultant fraction as 47 \frac{4}{7} .

Therefore, the sum of 37 \frac{3}{7} and 17 \frac{1}{7} is 47 \frac{4}{7} .

Answer

47 \frac{4}{7}