Question

A 6-acre piece of land is subdivided into 3/7-acre lots. How many lots are there?There are ? lots.

Answer 1

The given piece of land is 6-acre. It is subdivided into 3/7-acre lots.

Divide 6-acres by 3/7-acre to compute the number of lots.

$\text{Use }\frac{a}{\frac{b}{c}}=a\times\frac{c}{b}$

$\frac{6}{\frac{3}{7}}=6\times\frac{7}{3}$

$\frac{6}{\frac{3}{7}}=3\times2\times\frac{7}{3}$

$\frac{6}{\frac{3}{7}}=2\times7$

$\frac{6}{\frac{3}{7}}=14$

Hence there are 14 lots.