Question

The vulgar fraction of \[0.231\] can be expressed as
A.\[\dfrac{{229}}{{990}}\]
B.\[\dfrac{{229}}{{900}}\]
C.\[\dfrac{{231}}{{1000}}\]
D.\[\dfrac{{231}}{{999}}\]

Answer 1

Hint: Here we will use the basic concept of the vulgar fraction. Vulgar fraction is also known as the common fraction which is written in the form of numerator and denominator not in the decimal form. We will remove the decimals of the given term by multiplying and dividing a suitable number. Then we will get the number as fraction and after solving the fraction we will get the vulgar fraction form.

Complete step-by-step answer:
Given number is \[0.231\].
Now we will remove the decimal from the given number by multiplying and dividing the term by 1000. Therefore, we get
\[ \Rightarrow 0.231 = 0.231 \times \dfrac{{1000}}{{1000}}\]
Now we will solve this to get the number in the vulgar fraction form, we get
\[ \Rightarrow 0.231 = \dfrac{{231}}{{1000}}\]
Hence, a vulgar fraction of \[0.231\] can be expressed as \[\dfrac{{231}}{{1000}}\].
So, option C is the correct option.

Note: We know that there are three types of fractions. These are proper fractions, improper fractions, and mixed fractions.
Proper fractions are a fraction having the numerator less, or lower in degree, than the denominator. The value of proper fraction after simplification is always less than 1.
An improper Fraction is a fraction where the numerator is greater than or equals to the denominator, then it is known as an improper fraction. After the simplification of an improper fraction results in the value which is equal or greater than 1, but not less than 1.
A mixed Fraction is the combination of a natural number and fraction. It is basically an improper fraction. After the simplification of a mixed fraction results in the value which is always greater than 1. An improper fraction can be converted into a mixed fraction.