Jonathan owns 3 1/3 acres of farmland. He grows beets on 4/5 of the land. On how many acres of land does Jonathan grow beets?

Question

Write your answer as a fraction or as a whole or mixed number.

Answer 1

To find out how many acres of land Jonathan grows beets on, we need to calculate \( \frac{4}{5} \) of \( 3 \frac{1}{3} \) acres.

First, we convert \( 3 \frac{1}{3} \) into an improper fraction: \[ 3 \frac{1}{3} = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3} \]

Now, we find \( \frac{4}{5} \) of \( \frac{10}{3} \): \[ \frac{4}{5} \times \frac{10}{3} = \frac{4 \times 10}{5 \times 3} = \frac{40}{15} \]

Next, we simplify \( \frac{40}{15} \): \[ \frac{40}{15} = \frac{8}{3} \]

Now, we convert \( \frac{8}{3} \) into a mixed number: \[ \frac{8}{3} = 2 \frac{2}{3} \]

Thus, the number of acres of land on which Jonathan grows beets is \( 2 \frac{2}{3} \) acres.