Solve: Adding Fractions 5/10 + 1/4 Step by Step

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

• Step 1: Find the least common multiple (LCM) of the denominators 10 and 4.
• Step 2: Convert both fractions to have the common denominator.
• Step 3: Add the numerators and present the result.

Now, let's work through each step:

Step 1: Find the LCM of 10 and 4. The prime factors of 10 are $2 \times 5$, and for 4, $2^2$. The LCM is $2^2 \times 5 = 20$.

Step 2: Convert the fractions:
$\frac{5}{10}$ can be converted by multiplying both the numerator and the denominator by 2: $\frac{5 \times 2}{10 \times 2} = \frac{10}{20}$.
$\frac{1}{4}$ can be converted by multiplying both the numerator and the denominator by 5: $\frac{1 \times 5}{4 \times 5} = \frac{5}{20}$.

Step 3: Add the fractions:
$\frac{10}{20} + \frac{5}{20} = \frac{10 + 5}{20} = \frac{15}{20}$.

Therefore, the solution to the problem is $\frac{15}{20}$, which matches choice ID 4.