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The question reads:

"Raju spent $ \frac{8}{9} $ of his pocket money. $ \frac{3}{5} $ of the amount spent was spent on food. What fraction of his pocket money was spent on food?"

### Solution:

1. Let Raju's total pocket money be represented by $ M $.
2. He spent $ \frac{8}{9} $ of his pocket money, which is $ \frac{8}{9}M $.
3. Out of this, $ \frac{3}{5} $ was spent on food. So, the amount spent on food is:
   \[
   \text{Amount spent on food} = \frac{3}{5} \times \frac{8}{9}M = \frac{3 \times 8}{5 \times 9}M = \frac{24}{45}M = \frac{8}{15}M
   \]

So, Raju spent $ \frac{8}{15} $ of his total pocket money on food.

Would you like further details or clarification on any step?

### Related Questions:
1. If Raju spent $ \frac{5}{7} $ of his pocket money, what fraction of it was spent on food if $ \frac{4}{5} $ of the spent amount went towards food?
2. What fraction of his pocket money would Raju have left if he had spent $ \frac{3}{4} $ on non-food items?
3. If Raju's pocket money is $90, how much did he spend on food?
4. What is the total amount spent by Raju if $ \frac{5}{9} $ of his pocket money was spent on other things?
5. If Raju spent 60% of his money, and 40% of that was on food, what fraction of the total money went on food?

### Tip:
When solving problems involving fractions of fractions, remember to multiply the fractions directly to find the desired amount.

Raju spent 8/9 of his pocket money. 3/5 of the amount spent was spent on food. What fraction of his pocket money was spent on food?

Solve the problem where Raju spends 8/9 of his pocket money, and 3/5 of the spent amount is used for food. Learn how to multiply fractions to find out what fraction of the total money was spent on food. This problem is ideal for Grade 6-8 students studying fractions.

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