Solve the Fraction Addition: 4/15 + 1/2 Step-by-Step

To solve the problem of adding $\frac{4}{15}$ and $\frac{1}{2}$, follow these steps:

• Step 1: Identify the denominators of the given fractions, which are $15$ and $2$.

• Step 2: Find the common denominator by multiplying the denominators: $15 \times 2 = 30$.

• Step 3: Adjust each fraction to have the common denominator:

  • Convert $\frac{4}{15}$ to $\frac{4 \times 2}{15 \times 2} = \frac{8}{30}$.

  • Convert $\frac{1}{2}$ to $\frac{1 \times 15}{2 \times 15} = \frac{15}{30}$.

• Step 4: Add the adjusted fractions:
  $\frac{8}{30} + \frac{15}{30} = \frac{8 + 15}{30} = \frac{23}{30}$.

• Step 5: Simplify the final expression. In this case, $\frac{23}{30}$ is already in simplest form.

The solution to the problem is $\frac{23}{30}$, which corresponds with choice 1 in the provided answer choices.