Question

How do you express \[.63\] as a fraction?

Answer 1

Hint: Firstly we take the number as $x$, then we multiply both the numerator and denominator by the power of \[10\] which is the same as the number of digits after the decimal point. In this case , the power of \[10\] is $2$. That is, we multiply and divide \[.63\] by \[100\]. Then we will get an integer in the numerator. Here, we get \[63\] as a numerator which is an integer. Then we will simplify or reduce the fraction until we get the simplest form. To find the simplest form, we will divide both numerator and denominator by the common factor of numerator and denominator.

Complete step by step solution:
We have to find an equivalent fraction of \[.63\].
For this, first of all, we write
The decimal number=\[0.63\]
Now, we will write \[1\] in the denominator to represent its fractional form
Then decimal number =\[0.63/1\]
Now, we will multiply both numerator and denominator by \[100\] since here the number of digits after the decimal point is $2$.
Thus we get \[63/100\]
Now, we will check if the fraction is in its simplest form.
To do this, we will find the LCM of both numerator and denominator
LCM\[\left( 63,100 \right)=1\]
Since LCM is \[1\], therefore it cannot be factored further.
Therefore
\[.63=63/100\]

Hence , \[63/100\] is the equivalent fraction of \[.63\].

Note: We need to find the common factors between the numerator and denominator to further simplify the fractional form in simplest form \[.63\] can also be written as \[63%\] and \[63/100\] is the fraction representation of \[63%\]. We can also find the common factors by prime factorization of both the numbers. If any of the numbers are prime, then we can directly tell that the LCM is \[1\], but if the numbers are composite, then we can find the prime factorization and then find the common factors.