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

To solve the problem of adding the fractions $\frac{1}{3}$ and $\frac{3}{6}$, we must find a common denominator:

• Step 1: Identify a common denominator. Since the denominators are 3 and 6, and 6 is a multiple of 3, we can use 6 as the common denominator.

• Step 2: Convert $\frac{1}{3}$ to a fraction with a denominator of 6. To do this, multiply both the numerator and denominator of $\frac{1}{3}$ by 2 to get: $\frac{1 \times 2}{3 \times 2} = \frac{2}{6}$.

• Step 3: Now, add the converted fraction $\frac{2}{6}$ to $\frac{3}{6}$. Since they have the same denominator, we can add the numerators: $\frac{2}{6} + \frac{3}{6} = \frac{2 + 3}{6} = \frac{5}{6}$.

The answer to the problem is therefore $\frac{5}{6}$. This result matches choice id 3: $\frac{5}{6}$.