Solve Fraction Addition: 3/4 + 3/8 Step by Step

To solve the problem of adding $\frac{3}{4}$ and $\frac{3}{8}$, let's follow a systematic approach:

• Step 1: Identify the Common Denominator
  The denominators are 4 and 8. The least common multiple (LCM) of 4 and 8 is 8. Thus, 8 will be our common denominator.
• Step 2: Convert Fractions to Common Denominator
  The fraction $\frac{3}{4}$ needs to be converted to an equivalent fraction with a denominator of 8. To do this, multiply both the numerator and the denominator by 2: $\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$.
  The fraction $\frac{3}{8}$ already has a denominator of 8, so it remains the same: $\frac{3}{8}$.
• Step 3: Add the Fractions
  With a common denominator, add the numerators while keeping the denominator the same: $\frac{6}{8} + \frac{3}{8} = \frac{6 + 3}{8} = \frac{9}{8}$.
• Step 4: Simplify the Fraction if Necessary
  The fraction $\frac{9}{8}$ is already in its simplest form, but it is an improper fraction. If desired, it can be expressed as a mixed number: $1 \frac{1}{8}$. However, $\frac{9}{8}$ as a fraction suffices for this problem.

Therefore, the solution to the problem is $\frac{9}{8}$.