Solve the Fraction Addition: 2/4 + 3/8 Step-by-Step

Question

Solve the following exercise:

24+38=? \frac{2}{4}+\frac{3}{8}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 We want to find the least common denominator
00:06 Therefore multiply by 2 for the common denominator 8
00:09 Remember to multiply both numerator and denominator
00:15 Calculate the multiplications
00:20 Add under common denominator
00:25 Calculate the numerator
00:29 And this is the solution to the question

Step-by-Step Solution

To solve the problem of adding 24 \frac{2}{4} and 38 \frac{3}{8} , we need to follow these steps:

  • Step 1: Convert 24 \frac{2}{4} to an equivalent fraction with a denominator of 8.
  • Step 2: Add the two fractions with the common denominator.
  • Step 3: Verify the solution and match it against the provided answer choices.

Let's perform each step:

Step 1: Convert 24 \frac{2}{4} to a fraction with a denominator of 8.
To do this, we multiply both the numerator and the denominator of 24 \frac{2}{4} by 2, since 4×2=8 4 \times 2 = 8 .
This gives us 2×24×2=48 \frac{2 \times 2}{4 \times 2} = \frac{4}{8} .

Step 2: Add 48 \frac{4}{8} and 38 \frac{3}{8} .
Since both fractions now have the same denominator, we can add the numerators directly:
48+38=4+38=78 \frac{4}{8} + \frac{3}{8} = \frac{4+3}{8} = \frac{7}{8} .

Step 3: Verify the solution.
The calculated sum of the fractions is 78 \frac{7}{8} . This matches choice 1 in the given answer choices.

The solution to the problem is 78 \frac{7}{8} .

Answer

78 \frac{7}{8}