Question

Liam was mowing his playground of $400f{t}^2$ area. He mowed $100f{t}^2$ on the first day. The decimal number that can represent the part of the playground that is yet to be mowed is .

Answer 1

The total area of the playground $=400f{t}^2$
Mowed area $=100f{t}^2$

Fractional part of the mowed playground
$=\frac{\text{Area mowed}}{\text{Total area}}$
$=\frac{100f{t}^2}{400f{t}^2}$
$=\frac{1}{4}$

The total playground area is represented as a whole, i.e., $1.$

$\therefore$ Part of the playground that is yet to be mowed
$=1-\frac{1}{4}$
$=\frac{4}{4}-\frac{1}{4}$
$=\frac{4-1}{4}$
$=\frac{3}{4}$

Now, convert $\frac{3}{4}$ into a rational number using long division.

$\therefore$ Required decimal number is $\mathrm{0.75.}$