Question

How do you write 0.09 as a fraction?

Answer 1

Hint: For converting decimal to fraction remember that every place after the decimal point is taken as the 1/10. If there is one place after decimal point it is taken as 1/10 and if there are two places after decimal point it is taken as 1/100 and if there are three places after decimal point it is taken as 1/1000. Similarly for four and five and so on.

Complete step-by-step answer:
The objective of the problem is to write the given decimal number as a fraction number .
About decimal numbers: A decimal number is a number where integral number part and decimal number part are separated by the point which is called decimal. The numbers before the decimal point are called integral parts and the numbers after the decimal point are called decimal parts.
About fraction numbers : A fraction is a number which has two parts; they are numerator and denominator. A numerator is one which is above the line and denominator is one which is below the line and the line indicates division. There are three types of functions. They are proper fractions, improper fractions and the mixed fractions.
Now , given decimal number is 0.09
To convert a decimal number to fractional number takes every place after the decimal point as 1/10.
As there are two numbers after the decimal point of the given number it is taken as 1/100.
That is $9 \times \dfrac{1}{{100}}$
Which on multiplication we get $\dfrac{9}{{100}}$
Thus , the value of 0.09 as a fraction is $\dfrac{9}{{100}}$.

Note: A fraction is said to be a proper fraction if the numerator is less than the denominator.
A fraction is said to be an improper fraction if the numerator is greater than or equal to the denominator. And a fraction is said to be mixed fraction if a whole number and the proper fractions are side by side.