Solve: 1/2 + 3/10 - Adding Fractions with Unlike Denominators

To solve the problem, follow these steps:

• Step 1: Recognize the denominators $2$ and $10$ and note that $10$ is a common multiple.
• Step 2: Convert $\frac{1}{2}$ to a fraction with a denominator of 10. Since $2 \times 5 = 10$, multiply both the numerator and denominator of $\frac{1}{2}$ by 5 to get $\frac{5}{10}$.
• Step 3: The second fraction, $\frac{3}{10}$, already has a denominator of 10, so no conversion is needed.
• Step 4: Add the two fractions: $\frac{5}{10} + \frac{3}{10}$.
• Step 5: As the denominators are the same, add the numerators: $5 + 3 = 8$.
• Step 6: Write the result with the common denominator: $\frac{8}{10}$.
• Step 7: Check if the fraction can be simplified further. Since 8 and 10 have a common factor of 2, divide by 2 to simplify: $\frac{8}{10} = \frac{4}{5}$.

The problem's correct answer without simplification matches choice 1.

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