Solve Fraction Addition: 1/2 + 2/7 Step-by-Step

Question

Solve the following exercise:

12+27=? \frac{1}{2}+\frac{2}{7}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply each fraction by the second denominator to find a common denominator
00:12 Remember to multiply both numerator and denominator
00:27 Calculate the multiplications
00:34 Add under common denominator
00:38 Calculate the numerator
00:42 And this is the solution to the question

Step-by-Step Solution

To solve the given problem of adding two fractions 12 \frac{1}{2} and 27 \frac{2}{7} , follow these steps:

  • Step 1: Determine the common denominator.

The denominators of the fractions are 22 and 77. Multiply these two numbers to find the common denominator: 2×7=142 \times 7 = 14.

  • Step 2: Adjust each fraction to have the common denominator.

Convert 12 \frac{1}{2} to an equivalent fraction with a denominator of 1414:
12=1×72×7=714 \frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}

Convert 27 \frac{2}{7} to an equivalent fraction with a denominator of 1414:
27=2×27×2=414 \frac{2}{7} = \frac{2 \times 2}{7 \times 2} = \frac{4}{14}

  • Step 3: Add the adjusted fractions.

Now that both fractions have a common denominator, add them:
714+414=7+414=1114 \frac{7}{14} + \frac{4}{14} = \frac{7 + 4}{14} = \frac{11}{14}

We have successfully added the fractions and obtained the result.

Therefore, the solution to the problem is 1114 \frac{11}{14} .

Answer

1114 \frac{11}{14}