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

To solve this problem, we'll follow these steps:

• Step 1: Identify the given fractions and their denominators.
• Step 2: Determine a common denominator.
• Step 3: Convert each fraction to have the common denominator.
• Step 4: Add the fractions' numerators together.
• Step 5: Verify the answer against the possible choices.

Now, let's work through each step:

Step 1: The given fractions are $\frac{1}{5}$ and $\frac{6}{10}$.

Step 2: The common denominator for these fractions is 10, as it is already the denominator of the second fraction.

Step 3: Convert $\frac{1}{5}$ to a fraction with a denominator of 10 by multiplying both the numerator and the denominator by 2:
$\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10}$.

Step 4: Add the fractions with the common denominator:
$\frac{2}{10} + \frac{6}{10} = \frac{2 + 6}{10} = \frac{8}{10}$.

Step 5: Compare the result $\frac{8}{10}$ with the possible choices given. The correct choice is $\frac{8}{10}$, which matches choice id="2".

Therefore, the solution to the problem is $\frac{8}{10}$.