Solve the Fraction Addition: 1/4 + 3/8

Question

Solve the following exercise:

14+38=? \frac{1}{4}+\frac{3}{8}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:07 Let's multiply the fraction by 2 to get a common denominator
00:10 Remember to multiply both numerator and denominator
00:20 Let's calculate the multiplications
00:26 Let's add under common denominator
00:29 Let's calculate the numerator
00:32 And this is the solution to the question

Step-by-Step Solution

To solve this addition problem involving fractions, we first need to ensure both fractions have a common denominator.

Step 1: Convert 14 \frac{1}{4} to an equivalent fraction with a denominator of 8.

To do this, we need to multiply both the numerator and denominator of 14 \frac{1}{4} by 2 to achieve the desired denominator:

1×24×2=28 \frac{1 \times 2}{4 \times 2} = \frac{2}{8}

Step 2: Now we can add the fractions 28 \frac{2}{8} and 38 \frac{3}{8} since they have a common denominator.

28+38=2+38=58 \frac{2}{8} + \frac{3}{8} = \frac{2 + 3}{8} = \frac{5}{8}

Therefore, the sum of 14 \frac{1}{4} and 38 \frac{3}{8} is 58\frac{5}{8}.

Thus, the correct answer to the problem is 58 \frac{5}{8} .

Answer

58 \frac{5}{8}