Solve Fraction Addition: 3/12 + 1/4 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:03 We want to find the least common denominator

00:06 Therefore multiply by 3 to get the common denominator 12

00:09 Remember to multiply both numerator and denominator

00:19 Calculate the multiplications

00:27 Add under the common denominator

00:30 Calculate the numerator

00:33 Reduce the fraction as much as possible

00:37 Remember to divide both numerator and denominator

00:43 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll take the following steps:

Step 1: Convert $\frac{1}{4}$ to an equivalent fraction with a denominator of 12.
Since $4 \times 3 = 12$ , multiply both the numerator and the denominator of $\frac{1}{4}$ by 3 to get $\frac{3}{12}$ .
Step 2: Add $\frac{3}{12} + \frac{3}{12}$ .
The numerators will add to $3 + 3$ , giving $\frac{6}{12}$ .
Step 3: Simplify the fraction $\frac{6}{12}$ .
The greatest common divisor of 6 and 12 is 6, so divide both the numerator and the denominator by 6 to get $\frac{1}{2}$ .

Therefore, the solution to the problem is $\frac{1}{2}$ .