Solve the Fraction Addition: 3/4 + 1/8 Step-by-Step

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

• Step 1: Find a common denominator for the fractions.
• Step 2: Convert $\frac{3}{4}$ to a fraction with the new denominator.
• Step 3: Add the two fractions.
• Step 4: Simplify if necessary.

Now, let's go through the process:

Step 1: The problem is $\frac{3}{4} + \frac{1}{8}$. The least common denominator (LCD) for 4 and 8 is 8.

Step 2: Convert $\frac{3}{4}$ to a fraction with a denominator of 8. To do this, multiply both the numerator and the denominator of $\frac{3}{4}$ by 2:

$\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$.

Step 3: Now, add the two fractions with the same denominator:

$\frac{6}{8} + \frac{1}{8} = \frac{6+1}{8} = \frac{7}{8}$.

Step 4: The fraction $\frac{7}{8}$ is already in its simplest form.

Therefore, the solution to this problem is $\frac{7}{8}$.