Question

Write the following in simple form of: $33\% $

Answer 1

Hint: According to given in the question we have to find the simplified form of the given number which is in the form of percentage $33\% $ so, to first of all we have to make the given $33\% $ in the form of fraction but fist of all we have to understand about fraction.
Fraction: A fraction is ratio or division of two integers, numbers or variables in the form of $\dfrac{p}{q}$ where $q \ne 0$and as we can see that p is nominator and q is denominator where p is not completely divisible by the denominator q.
A fraction represents an amount relative to a whole and with the percentage the same conditions will be applied with 100 designates with the whole. So now we have to write down the number 33, with a line beneath it and the number 100 below the line. Here we will wind up with in the form of $\dfrac{p}{q}$ where our nominator or p is 33 and denominator or q is 100. So, by solving the fraction $\dfrac{p}{q}$ we can also obtain the simplified form of $33\% $ in decimal.

Complete step-by-step answer:
Step 1: First of all to simplify $33\% $ we will try to make as a fraction in the form of $\dfrac{p}{q}$ where the nominator term is p which is 33 and the denominator term is q which is 100 because as we know that to find the percentage of a given number we have to divide it by 100. Hence,
Simplification of $33\% $ in form of fraction$ = \dfrac{{33}}{{100}}$
Step 2: Now, to find the simplified form of the given $33\% $ number into decimal we have to divide 33 by 100 to obtain the decimal form of $33\% $ from fraction.
Simplification of $33\% $ in form of decimal$ = 0.33$

Hence, the simplification of the given number $33\% $ in form of fraction $ = \dfrac{{33}}{{100}}$ and simplification of the given number $33\% $ in form of decimal $ = 0.33$

Note: To convert the obtained fraction $\dfrac{p}{q}$ in the form of decimal we have to divide the term in the numerator p with the term in the denominator q.
Whenever the top number is divided, the bottom number must be divided by the same figure. Therefore 100 must be divided by 33 and we will be left with the bottom number 0.33.