A farmer divided his field in three parts

a). On half of his field he grew wheat

b) of the remaining half he used one-third to grow rice and the rest to grow vegetables

What fraction of the field is used to

a) Grow rice

b) Grow vegetables

a) Rice = > 1/4

b) Vegetables = > 1/4

Step-by-step explanation:

Lets say the farmers field was in a square shape. Now divide this square into 4 parts.

Now, each part is 1/4

So, half of his field is for wheat cultivation, i. e., 1/4 + 1/4 = 2/4 = 1/2

So, the other half is for rice and vegetables

2 vegetables have to be grown on the other half

So,

Fraction of field required for growing rice = 1/4

Fraction of field required for growing vegetables = 1/4