To add the two fractions \(\frac{1}{10}\) and \(\frac{4}{5}\), follow these steps:

### Step 1: Find a common denominator
The denominators are \(10\) and \(5\). The least common denominator (LCD) is \(10\).

### Step 2: Rewrite the fractions with the common denominator
\[
\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
\]

Now the fractions are:
\[
\frac{1}{10} + \frac{8}{10}
\]

### Step 3: Add the numerators
Add the numerators while keeping the denominator the same:
\[
\frac{1}{10} + \frac{8}{10} = \frac{1 + 8}{10} = \frac{9}{10}
\]

### Final Answer:
\[
\frac{9}{10}
\]

Would you like further clarification or additional examples?

### Related Questions:
1. How do you simplify fractions?
2. What is the method for subtracting fractions with different denominators?
3. How do you convert improper fractions to mixed numbers?
4. Can you explain how to find the least common denominator?
5. What is the method for multiplying fractions?

### Tip:
Always simplify your fractions after operations to ensure the answer is in its simplest form.

Learn how to add fractions with different denominators, such as 1/10 and 4/5, using the least common denominator. This solution covers the step-by-step process of finding a common denominator and adding fractions. Suitable for students in Grades 4-6.

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