Question

What does $0.36$ equal as a fraction?

Answer 1

Hint: Here in this question, we have to convert the given number into fraction in the form $\dfrac{p}{q}$ . The given number is in the form of a decimal. To convert the decimal number to the fraction we multiply and divide the given decimal number by the multiples of $10$.

Complete answer:
The given number is of the form decimal. Now we have to convert this decimal number to a fraction. If we see the decimal number, after the decimal point there is $1$ number, so we have to multiply and divide the decimal by $10$.
So, the number given to us is $0.36$.
Now, there are two digits after the decimal point. So, for the conversion of decimal to fraction we multiply and divide the number by the second power of $10$, that is ${10^2} = 100$. So, we have,
$ \Rightarrow 0.36 \times \dfrac{{100}}{{100}}$
By multiplying in the numerator we get,
$ \Rightarrow \dfrac{{36}}{{100}}$
Now, there are common factors in the numerator and denominator. So, we cancel the common factors in numerator and denominator to get the simplified form of fraction. So, dividing both numerator and denominator by four, we get,
$ \Rightarrow \dfrac{9}{{25}}$
Now, the fraction is in its simplest form.
Hence, the number $0.36$ in the fractional form $\dfrac{p}{q}$ is $\dfrac{9}{{25}}$.

Note:
We must multiply by the same power of ten as the number of digits after the decimal point as it eases the calculations. While cancelling the common factors in numerator and denominator, we should take care to divide or multiply both the entities with the same number so that the quantity remains unchanged.