Question

Tammy owns 28 acres of farmland. She grows beets on 2/3 of the land. On how many acres of land does Tammy grow beets?

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

Answer 1

To find out how many acres of land Tammy grows beets on, you need to calculate \( \frac{2}{3} \) of 28 acres.

You can do this by multiplying:

\[
\frac{2}{3} \times 28
\]

To perform the multiplication, you can express 28 as a fraction:

\[
\frac{2}{3} \times \frac{28}{1} = \frac{2 \times 28}{3 \times 1} = \frac{56}{3}
\]

Now, to convert \( \frac{56}{3} \) into a mixed number, divide 56 by 3:

When you divide,

- 3 goes into 56 a total of 18 times (since \( 3 \times 18 = 54 \)).
- The remainder is \( 56 - 54 = 2 \).

Thus, \( \frac{56}{3} \) can be expressed as:

\[
18 \frac{2}{3}
\]

Therefore, Tammy grows beets on \( \frac{56}{3} \) acres, or as a mixed number:

\[
18 \frac{2}{3} \text{ acres}
\]