Solve the Fraction Addition: 3/5 + 3/10 Step-by-Step

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

• Step 1: Identify the given fractions, $\frac{3}{5}$ and $\frac{3}{10}$.
• Step 2: Find the least common denominator (LCD) of the denominators 5 and 10.
• Step 3: Convert each fraction to have this common denominator.
• Step 4: Add the fractions.

Now, let's work through each step:

Step 1: We have the fractions $\frac{3}{5}$ and $\frac{3}{10}$.

Step 2: Check the denominators. The denominators are 5 and 10. The least common multiple of 5 and 10 is 10. Thus, our common denominator will be 10.

Step 3: Convert each fraction to an equivalent fraction with a denominator of 10:
$\frac{3}{5}$ is equivalent to $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$ (since $\frac{5}{10}$ must equal 10, multiply both numerator and denominator by 2).

Step 4: The fraction $\frac{3}{10}$ already has the denominator of 10.
Thus, $\frac{3}{5} + \frac{3}{10} = \frac{6}{10} + \frac{3}{10} = \frac{6 + 3}{10} = \frac{9}{10}$.

Therefore, the answer to the problem is $\frac{9}{10}$, which corresponds to choice 1.