To solve:
$\frac{3}{5} + \frac{1}{10} = \frac{?}{10}$

Step 1: Convert to a common denominator

The least common denominator between 5 and 10 is 10. Rewrite $\frac{3}{5}$ with a denominator of 10:

$\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10}$

Now the equation becomes:

$\frac{6}{10} + \frac{1}{10} = \frac{7}{10}$

Thus,
$\frac{3}{5} + \frac{1}{10} = \frac{7}{10}$

Would you like more details or a different explanation?

Related Questions:

1. How do you add fractions with different denominators?
2. What is the least common multiple (LCM), and how is it useful in fraction addition?
3. How do you convert improper fractions to mixed numbers?
4. How do you subtract fractions with unlike denominators?
5. How do you simplify fractions after addition?

Tip: Always find the least common denominator before adding or subtracting fractions!