Question

Express $0.09$ as a fraction.

Answer 1

Hint: In order to change the decimal $0.09$ into a fraction, initiate with counting the digits from right side that and divide the real number that is $9$ by the value $10$ having the power same as the number of digits that are on the left side of the decimal. And, the fraction is obtained. If needed then convert the fraction into its simplest form, otherwise leave it as it is.

Complete step by step answer:
We are given a value in decimal $0.09$. Since, we can see that the number of digits after the decimal is $2$. So, divide only the real number value with no zero before decimal and no decimal point by $10$ to the power of $2$ and we get:
$0.09 = \dfrac{9}{{{{10}^2}}} \\ $
Expand $10$ for $2$, as we know that value can be written for the number of times the power is given and we get:
$\dfrac{9}{{{{10}^2}}} = \dfrac{9}{{100}}$
If possible to simplify the fraction then we can simplify it, and if not possible then leave it as it is.

Therefore, the value of $0.09$ when expressed in fraction is $\dfrac{9}{{100}}$.

Note:A decimal is represented by putting a dot between the numbers, it adds zeros in the division process when it’s not completely divisible. A fraction is a part of a number which is divided in two parts: a numerator and a denominator. We can also find the reverse, that is converting a fraction into decimal and else also converting a decimal into percentage etc., using the same methods.