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

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) ÷ (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.