A recipe calls for 1/4 kg of sugar per cake. If John has 5/2 kg of sugar, how many cakes can he bake?

5/4 cakes

8 cakes

10 cakes

12 cakes

1 answer

To find out how many cakes John can bake, we need to divide the amount of sugar he has by the amount of sugar required per cake.

John has 5/2 kg of sugar.
The recipe calls for 1/4 kg of sugar per cake.

So, divide 5/2 kg of sugar by 1/4 kg per cake:
(5/2) รท (1/4)

To divide fractions, multiply the numerator of the first fraction by the reciprocal of the second fraction:
(5/2) * (4/1)

Multiply the numerators and the denominators:
(5 * 4) / (2 * 1) = 20/2

20/2 = 10

Therefore, John can bake 10 cakes. So the correct answer is 10 cakes.