To solve $\frac{3}{5} + \frac{5}{6}$, we need to find a common denominator.

Step 1: Find the Least Common Denominator (LCD)

• The denominators are 5 and 6.
• The least common denominator (LCD) of 5 and 6 is 30.

Step 2: Rewrite the fractions with the common denominator $\frac{3}{5} = \frac{3 \cdot 6}{5 \cdot 6} = \frac{18}{30}$ $\frac{5}{6} = \frac{5 \cdot 5}{6 \cdot 5} = \frac{25}{30}$

Step 3: Add the two fractions $\frac{18}{30} + \frac{25}{30} = \frac{18 + 25}{30} = \frac{43}{30}$

Step 4: Simplify, if necessary

• $\frac{43}{30}$ is an improper fraction, so we can convert it to a mixed number. $\frac{43}{30} = 1 \frac{13}{30}$ Since $\frac{13}{30}$ is already in its simplest form, the final answer is: $\boxed{\frac{43}{30} \text{ or } 1 \frac{13}{30}}$

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Would you like more details or have any questions?
Here are 5 related questions to challenge your understanding:

1. What is $\frac{7}{8} + \frac{2}{3}$?
2. How do you determine the least common denominator of two fractions?
3. Convert $\frac{43}{30}$ to a decimal.
4. Subtract $\frac{5}{6}$ from $\frac{3}{5}$.
5. Why is it useful to convert improper fractions to mixed numbers?

Tip: Always look for the least common denominator (LCD) to make addition and subtraction of fractions simpler.