Question

Liam was mowing his playground of $400f{t}^2$ area. He mowed $100f{t}^2$ on the first day. Choose the rational number that can represent the part of the mowed playground.

• A. $0.25$
• B. $0.75$
• C. $\frac{3}{4}$

Answer 1

The correct option is A $0.25$

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

Fractional part of the mowed playground
$=\frac{\text{Area mowed}}{\text{Total area}}$
$=\frac{100f{t}^2}{400f{t}^2}$
$=\frac{100}{100\times 4}$
(cancelling $100$ from numerator and denominator)
$=\frac{1}{4}$

Now, convert $\frac{1}{4}$ into a rational number using long division.
If a decimal number is non-terminating and non-repeating number then it is not considered rational number.

But, here the decimal number is terminating.

$\therefore$ Required rational number is $\mathrm{0.25.}$