Question

How do you write 65% as a fraction in simplest form?

Answer 1

Hint: A percentage can be converted into a fraction, by dividing it by 100. To convert the fraction into the simplest form, we have to divide both the numerator and denominator by the same number until further division is not possible.

Complete step by step solution:
The given percentage is 65%
First, let us convert the percentage into a fraction.
To convert the percentage into a fraction, we have to divide it by 100.
$\Rightarrow 65$
$\therefore$The fractional form of 65% is${\displaystyle \frac{65}{100}}$.
To convert the fraction into the simplest form, divide the numerator and denominator by the same number.
On dividing both the numerator and denominator by 5, we get
$={\displaystyle \frac{{\text{⧸}65}^{13}}{{\text{⧸}100}^{20}}}$

$={\displaystyle \frac{13}{20}}$

Note:
The points we should remember when the numerator is the prime number. It is not possible to simplify the fraction ${\displaystyle \frac{13}{20}}$ further, because 13 is a prime number and we know that by the definition of a prime number, it cannot be divided by any number other than 1.