Dave has spent 9/10 of his pocket money and out of this amount, 1/3 was spent on food. What fraction of his pocket money was spent on food?
1/3 * 9/10 = 3/10
To find the fraction of Dave's pocket money that was spent on food, we need to multiply two fractions: the fraction of his pocket money that he spent and the fraction of that amount that was spent on food.
First, let's find out how much money Dave spent in total. Dave spent 9/10 of his pocket money, so the fraction of his pocket money that he spent can be represented as 9/10.
Next, we need to determine what fraction of this total amount was spent on food. The question tells us that 1/3 of the amount Dave spent was on food.
To find the fraction used for food, we multiply the fraction for the total amount spent (9/10) with the fraction for the food portion (1/3):
(9/10) * (1/3) = 9/30
Simplifying the fraction 9/30 gives us 3/10.
Therefore, Dave spent 3/10 of his pocket money on food.