Solve the Fraction Addition: 5/10 + 1/6 Step by Step

To solve this problem, we will follow these steps:

• Step 1: Find the least common denominator of 10 and 6.
• Step 2: Convert both fractions to have this common denominator.
• Step 3: Add the fractions.
• Step 4: Simplify the resulting fraction if possible.

Now, let's work through each step:

Step 1: The least common multiple (LCM) of 10 and 6 is 30. So, our common denominator will be 30.

Step 2: Convert each fraction to have a denominator of 30:
For $\frac{5}{10}$:
$\frac{5}{10} = \frac{5 \times 3}{10 \times 3} = \frac{15}{30}$
For $\frac{1}{6}$:
$\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}$

Step 3: Add the fractions:
$\frac{15}{30} + \frac{5}{30} = \frac{15 + 5}{30} = \frac{20}{30}$

Step 4: Simplify if needed:
The fraction $\frac{20}{30}$ is already simplified to one of the given answer choices with a common denominator, matching one of the options.

Therefore, the solution to the problem is $\frac{20}{30}$.