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

Video Solution

Solution Steps

00:00 Solve

00:03 We want to find the least common denominator

00:06 Multiply each fraction by the other denominator to find the common denominator

00:09 Remember to multiply both numerator and denominator

00:22 Calculate the multiplications

00:29 Add under the common denominator

00:33 Calculate the numerator

00:37 And this is the solution to the question

Step-by-Step Solution

To solve the problem of adding $\frac{1}{4} + \frac{1}{3}$ , we need to find a common denominator.

Step 1: Determine the least common multiple (LCM) of the denominators. For 4 and 3, the LCM is 12.
Step 2: Convert each fraction to an equivalent fraction with the denominator of 12.
For $\frac{1}{4}$ , multiply both numerator and denominator by 3: $\frac{1 \cdot 3}{4 \cdot 3} = \frac{3}{12}$ .
For $\frac{1}{3}$ , multiply both numerator and denominator by 4: $\frac{1 \cdot 4}{3 \cdot 4} = \frac{4}{12}$ .
Step 3: Add the resulting fractions: $\frac{3}{12} + \frac{4}{12} = \frac{3 + 4}{12} = \frac{7}{12}$ .

Thus, the sum of $\frac{1}{4}$ and $\frac{1}{3}$ is $\frac{7}{12}$ .

Therefore, the correct solution to the problem is $\frac{7}{12}$ .