Solve the Fraction Addition: 1/6 + 3/7 Step by Step

Video Solution

Solution Steps

00:06 Let's solve this problem together.

00:09 First, multiply each fraction by the other fraction's denominator. This will give us a common denominator.

00:19 Remember to multiply both the top number, called the numerator, and the bottom number, the denominator.

00:31 Now, do the multiplications for each fraction.

00:39 Add the numerators together under the common denominator.

00:44 Calculate the total for the numerator.

00:48 And there you have it. That's the solution to the question!

Step-by-Step Solution

To solve the problem of $\frac{1}{6} + \frac{3}{7}$ , we will use the following steps:

Step 1: Find the common denominator for 6 and 7 by multiplying them. The common denominator is $6 \times 7 = 42$ .
Step 2: Express each fraction with this common denominator:
- $\frac{1}{6} = \frac{1 \times 7}{6 \times 7} = \frac{7}{42}$
- $\frac{3}{7} = \frac{3 \times 6}{7 \times 6} = \frac{18}{42}$
Step 3: Add the adjusted fractions:
$\frac{7}{42} + \frac{18}{42} = \frac{7 + 18}{42} = \frac{25}{42}$
Step 4: Check if the fraction can be simplified further. In this case, $\frac{25}{42}$ is already in its simplest form.

The sum of $\frac{1}{6} + \frac{3}{7}$ is $\frac{25}{42}$ .

The correct answer is choice 4: $\frac{25}{42}$ .