Solve the Fraction Addition: 9/10 + 2/5 Step-by-Step

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

• Step 1: Identify the Least Common Denominator (LCD) for the two fractions.
• Step 2: Convert each fraction to have the LCD as the denominator.
• Step 3: Add the fractions with the common denominator.

Now, let's work through each step:

Step 1: The denominators of the fractions are 10 and 5. The LCD of 10 and 5 is 10.
Step 2: Convert $\frac{2}{5}$ to have a denominator of 10. We can multiply both the numerator and the denominator by 2: $\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$.
Step 3: Now, add $\frac{9}{10}$ and $\frac{4}{10}$ (since both fractions now have the same denominator): $\frac{9}{10} + \frac{4}{10} = \frac{9 + 4}{10} = \frac{13}{10}$.

The two fractions added together give us $\frac{13}{10}$. Therefore, the solution to the problem is $\frac{13}{10}$, which matches the correct answer choice.