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The problem asks for the total amount of cake eaten by both the boys and the girls. Here's how to solve it:

The boys ate \( \frac{5}{9} \) of the cake, and the girls ate \( \frac{1}{3} \) of the cake. To add these fractions, we need to find a common denominator (LCD).

1. The denominators are 9 and 3. The least common denominator (LCD) of 9 and 3 is 9.
2. Rewrite \( \frac{1}{3} \) with a denominator of 9:
   \[
   \frac{1}{3} = \frac{3}{9}
   \]
3. Now add \( \frac{5}{9} + \frac{3}{9} \):
   \[
   \frac{5}{9} + \frac{3}{9} = \frac{8}{9}
   \]

So, altogether, they ate \( \frac{8}{9} \) of the cake.

### Correct answer:
- \( \frac{8}{9} \)

Would you like more details or have any other questions?

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Here are 5 related questions:
1. How do you find the least common denominator of two fractions?
2. What happens if the fractions have different denominators?
3. How can you simplify a fraction after adding or subtracting?
4. What is the difference between improper fractions and mixed numbers?
5. How can fractions be converted to decimals?

**Tip:** When adding fractions with different denominators, always find the least common denominator (LCD) to simplify the process.

At Jamie’s birthday party, the boys ate 5/9 of the cake, and the girls ate 1/3 of the cake. How much cake did they eat altogether?

Learn how to solve a word problem involving adding fractions. The boys ate 5/9 of a cake and the girls ate 1/3. This step-by-step solution shows how to find the least common denominator and add the fractions correctly. Ideal for Grades 4-6 students.

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