Question

30 acres of land were to be distributed among 45 farmers equally. Each farmer cultivates 3 different crops in equal areas, in his land. What is the area of cultivation available for one kind of crop for a farmer?

• A. $\frac{45}{30}\times \frac{1}{3}$
• B. $\frac{30}{45}÷3$
• C. $\frac{30}{45}\times \frac{1}{3}$
• D. $\frac{45}{30}÷3$

Answer 1

Answer: (B), (C)

The correct options are

B

$\frac{30}{45}÷3$

C

$\frac{30}{45}\times \frac{1}{3}$

Since 30 acres are to be divided among 45 farmers equally, each farmer would get $\frac{30}{45}$ acres.

The above rectangle represents the part of land each farmer gets. As each farmer cultivates 3 different crops in equal area, the land would have to be divided into 3 equal regions. Hence, we divide $\frac{30}{45}$ by 3, i.e $\frac{\frac{30}{45}}{3}$ or multiply $\frac{30}{45}$ by the reciprocal of 3, i.e $\frac{30}{45}\times \frac{1}{3}$