Question

How do you write $ 0.125 $ as a fraction ?

Answer 1

Hint: Here in this question, we have to convert the given number into fraction. The given number is in the form of a decimal. So, to convert the decimal number to the fraction we multiply the given number by the powers of $ 10 $ according to the number of digits after the decimal point. Since the number of digits after the decimal point in the decimal number is three, we multiply the decimal number by the third power of $ 10 $ in order to convert the number into fraction.

Complete step-by-step 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 are $ 3 $ numbers, so we have to multiply and divide the decimal by $ 1000 $ .
For the conversion of decimal to fraction we multiply and divide the number by $ 1000 $ . So, we have,
 $ \Rightarrow 0.125 \times \dfrac{{1000}}{{1000}} $
By multiplying we get,
 $ \Rightarrow \dfrac{{125}}{{1000}} $
Now, we know that there exists some common factors in between the numerator and denominator. So, cancelling the common factors between the numerator and denominator, we get,
 $ \Rightarrow \dfrac{1}{8} $
Now, there is no common factor between the numerator and the denominator, so the fraction is already in its lowest terms. So, this can’t be simplified further and hence the fraction for the given decimal expression $ 0.125 $ is $ \dfrac{1}{8} $ .
So, the correct answer is “ $ \dfrac{1}{8} $ ”.

Note: The number can be converted from one form to the other form. For the conversion of numbers, we have some rules or methods. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. We must always simplify the fraction to convert it into its lowest term where there is no common factor in numerator and denominator.