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

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: $\frac{25}{42}$.