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The image contains a problem that asks for the answer to be written in simplest form as a proper or improper fraction. The given equation is:

\[
\frac{5}{10} + \frac{5}{12}
\]

Let's solve this step by step.

### Step 1: Find the Least Common Denominator (LCD)
The denominators are 10 and 12. The least common denominator (LCD) of 10 and 12 is 60. This is because 60 is the smallest number that both 10 and 12 divide evenly into.

### Step 2: Convert both fractions to have the LCD
Now, we convert both fractions to have 60 as their denominator.

\[
\frac{5}{10} = \frac{5 \times 6}{10 \times 6} = \frac{30}{60}
\]
\[
\frac{5}{12} = \frac{5 \times 5}{12 \times 5} = \frac{25}{60}
\]

### Step 3: Add the fractions
Now that the fractions have the same denominator, we can add them directly:

\[
\frac{30}{60} + \frac{25}{60} = \frac{30 + 25}{60} = \frac{55}{60}
\]

### Step 4: Simplify the fraction
The greatest common divisor (GCD) of 55 and 60 is 5. So, we divide both the numerator and the denominator by 5:

\[
\frac{55 \div 5}{60 \div 5} = \frac{11}{12}
\]

### Final Answer:
The sum of \(\frac{5}{10} + \frac{5}{12}\) in simplest form is:

\[
\frac{11}{12}
\]

Would you like a further breakdown or explanation?

Here are 5 related questions to extend your understanding:
1. How do you find the least common denominator of two fractions?
2. What are proper and improper fractions?
3. How do you simplify a fraction after adding it?
4. Can fractions with different denominators be added without finding a common denominator?
5. What is the process for converting a mixed number to an improper fraction?

**Tip:** Always reduce fractions to their simplest form to make calculations easier and the answers more precise.

Simplify: Write your answer in lowest terms as a proper or improper fraction: 5/10 + 5/12.

Learn how to add fractions by finding the least common denominator. This problem demonstrates step-by-step addition and simplification of 5/10 and 5/12, suitable for students in Grades 5-7.

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