Question

a farmers land is separated into sections of size $2\frac{3}{7}$ acres. suppose there are $2\frac{4}{5}$ such sections. how many acres of land does the farmer own?
write your answer as a mixed number in simplest form.
\boxed{\quad} acres

Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{3}{7} = \frac{2\times7 + 3}{7} = \frac{17}{7}$
$2\frac{4}{5} = \frac{2\times5 + 4}{5} = \frac{14}{5}$

Step2: Multiply the two fractions

$\frac{17}{7} \times \frac{14}{5} = \frac{17\times14}{7\times5} = \frac{238}{35}$

Step3: Simplify and convert to mixed number

$\frac{238}{35} = \frac{34}{5} = 6\frac{4}{5}$

Answer:

$6\frac{4}{5}$ acres