To solve $\frac{7}{10} + \frac{2}{15}$, we need to find a common denominator.

Step 1: Find the Least Common Denominator (LCD)

The denominators are 10 and 15. The least common denominator of 10 and 15 is 30.

Step 2: Rewrite each fraction with the LCD as the denominator

• $\frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}$
• $\frac{2}{15} = \frac{2 \times 2}{15 \times 2} = \frac{4}{30}$

Step 3: Add the fractions

Now, add the numerators: $\frac{21}{30} + \frac{4}{30} = \frac{21 + 4}{30} = \frac{25}{30}$

Step 4: Simplify the fraction

$\frac{25}{30} = \frac{5}{6}$

So, $\frac{7}{10} + \frac{2}{15} = \frac{5}{6}$.

Would you like more details on this process or have any questions?

Here are some related questions you might explore:

1. How do you subtract fractions with different denominators?
2. What are the steps to find the least common denominator of two numbers?
3. How do you simplify fractions?
4. How do you multiply and divide fractions?
5. What is the process for converting improper fractions to mixed numbers?

Tip: Always simplify your final answer when working with fractions to get the most reduced form!