Answer: To determine how many cakes Hasim can make with 7 1/2 cups of chocolate chips, you need to divide the total amount of chocolate chips he has by the amount required for one cake.
The recipe calls for 1 1/4 cups of chocolate chips for one cake. To perform this division, we can first convert the mixed number to an improper fraction:
1 1/4 = (4 * 1 + 1) / 4 = 5/4
Now, you can calculate the number of cakes Hasim can make:
Number of cakes = Total chocolate chips / Chocolate chips per cake
Number of cakes = 7 1/2 cups / 5/4 cups per cake
To divide by a fraction, you can multiply by its reciprocal:
Number of cakes = 7 1/2 cups * (4/5 cups per cake)
Number of cakes = (15/2) * (4/5)
Now, multiply the fractions:
Number of cakes = (15 * 4) / (2 * 5)
Number of cakes = 60/10
Number of cakes = 6
Hasim can make 6 chocolate cakes with his 7 1/2 cups of chocolate chips.