Question

A rectangular park measures 2/3 mile by 7/8 mile. What is the area of the park?

Answer 1

To find the area of a rectangular park, you can use the formula:

\[
\text{Area} = \text{length} \times \text{width}
\]

In this case, the length of the park is \( \frac{2}{3} \) mile, and the width is \( \frac{7}{8} \) mile.

Now we multiply these two fractions:

\[
\text{Area} = \frac{2}{3} \times \frac{7}{8}
\]

To multiply fractions, you multiply the numerators together and the denominators together:

\[
\text{Area} = \frac{2 \times 7}{3 \times 8} = \frac{14}{24}
\]

Now we can simplify \( \frac{14}{24} \):

To simplify, find the greatest common divisor of 14 and 24, which is 2:

\[
\frac{14 \div 2}{24 \div 2} = \frac{7}{12}
\]

Thus, the area of the park is:

\[
\frac{7}{12} \text{ square miles}
\]