Question

Question 35.
Decimal 16.25 is equal to the fraction ___.

Answer 1

$\frac{65}{4}$

To convert a decimal into fraction we follow the steps as follows:

(i) Count the number of digits after the decimal(say "n").

(ii) Multiply and divide the number by 1 followed by n zeros, where n is the number of digits after the decimal.

In 16.25 there are two digits after the decimal place. So we multiply and divide it by 100.

$16.25\times \frac{100}{100}=\frac{1625}{100}$

Finally, converting the obtained fraction in its lowest form by dividing numerator and denominator by their HCF.
$\therefore$ 16.25 = $\frac{1625}{100}$ = $\frac{1625÷25}{100÷25}$ = $\frac{65}{4}$ $[\therefore HCFof1625and100is25]$