Question

How do you change $2.305$ into fraction?

Answer 1

Hint: In order to calculate the fraction equivalent of any decimal number ,first we calculate the number of digits after the decimal point and divide the number with 10 raised to power that number and remove the decimal point. In our case we can clearly see that there are 3 digits after the decimal digit, so divide the number with ${10^3}$and remove the decimal point. After simplifying more further, we will obtain our required answer.

Complete step-by-step solution:
We are given a decimal number $2.305$having three digits after the decimal point. So in order to change any decimal number in the fraction equivalent, divide the number with 10 raised to the power no of digits written after the decimal point and remove the decimal point in the end.
Here in our decimal number $2.305$,no of digits after decimal point is equal to 3 ,so dividing the number with ${10^3}$,we get
$
   = 2.305 \\
   = \dfrac{{2305}}{{{{10}^3}}} \\
   = \dfrac{{2305}}{{1000}} \\
 $
Simplifying the fraction, we get
$ = \dfrac{{461}}{{200}}$
Therefore, the fraction equivalent of the decimal number $2.305$ is $\dfrac{{461}}{{200}}$.

Additional Information:
What is a Rational Number?
A Rational number is a number which can be expressed in the form of $\dfrac{p}{q}$,where p and q are any integer value and q is not equal to 0. Such a number is known as a rational number.

Note:
1. Don’t Forgot to remove decimal point in the end .
2. To calculate fraction from the percentage , divide the given percentage value by 100
For example: We have to write $70\% $into fraction
$
   = \dfrac{{70}}{{100}} \\
   = \dfrac{7}{{10}} \\
 $
Or
$ = 0.7$