Adding Fractions with Different Denominators: 1/4 and 3/6

Video Solution

Solution Steps

00:00 Solve

00:03 We want to find the lowest 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

00:21 Calculate the multiplications

00:29 Add under the common denominator

00:32 Calculate the numerator

00:37 Reduce the fraction as much as possible

00:43 Remember to divide both numerator and denominator

00:46 And this is the solution to the problem

Step-by-Step Solution

To solve the problem of adding $\frac{1}{4}$ and $\frac{3}{6}$ , we perform the following steps:

Step 1: Find the least common multiple (LCM) of the denominators $4$ and $6$ . The LCM of $4$ and $6$ is $12$ .
Step 2: Convert $\frac{1}{4}$ to an equivalent fraction with a denominator of $12$ .
Multiply both the numerator and denominator of $\frac{1}{4}$ by $3$ to get $\frac{3}{12}$ .
Step 3: Convert $\frac{3}{6}$ to an equivalent fraction with a denominator of $12$ .
Multiply both the numerator and denominator of $\frac{3}{6}$ by $2$ to get $\frac{6}{12}$ .
Step 4: Add the equivalent fractions $\frac{3}{12} + \frac{6}{12}$ .
Step 5: Combine the numerators while keeping the common denominator: $\frac{3+6}{12} = \frac{9}{12}$ .
Step 6: Simplify $\frac{9}{12}$ by dividing the numerator and the denominator by their greatest common divisor, which is $3$ , resulting in $\frac{3}{4}$ .

Therefore, the sum of $\frac{1}{4}$ and $\frac{3}{6}$ is $\frac{3}{4}$ .