Solve: Adding 1/2 and 2/8 - Fraction Addition Practice

Question

Solve the following exercise:

12+28=? \frac{1}{2}+\frac{2}{8}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply the fraction by 4 to get a common denominator
00:06 Remember to multiply both numerator and denominator
00:13 Calculate the multiplications
00:21 Add under common denominator
00:26 Calculate the numerator
00:30 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Identify the given fractions 12\frac{1}{2} and 28\frac{2}{8}.
  • Step 2: Determine a common denominator for both fractions. Since 8 is a multiple of 2, we will use 8 as the common denominator.
  • Step 3: Convert 12\frac{1}{2} to an equivalent fraction with a denominator of 8.
  • Step 4: Add the fractions together.

Now, let's work through these steps:

Step 1: The fractions given are 12\frac{1}{2} and 28\frac{2}{8}.

Step 2: We choose 8 as the common denominator because it is a multiple of 2.

Step 3: Convert 12\frac{1}{2} to have a denominator of 8. To do this, multiply both the numerator and the denominator of 12\frac{1}{2} by 4:

12=1×42×4=48 \frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}

The fractions now are 48\frac{4}{8} and 28\frac{2}{8}, both having the common denominator 8.

Step 4: Add the numerators of these fractions:

48+28=4+28=68 \frac{4}{8} + \frac{2}{8} = \frac{4+2}{8} = \frac{6}{8}

Therefore, the sum of 12+28\frac{1}{2} + \frac{2}{8} is 68 \frac{6}{8} .

Answer

68 \frac{6}{8}