Question

How do you convert \[1.36\] to a fraction?

Answer 1

Hint: Here we will use the concept of the fraction. A fraction 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 the term by a suitable multiple of 10. Then we will simplify the fraction by dividing the numerator and denominator by a common factor to get the number in the required fraction form.

Complete step by step solution:
The given number for the conversion is \[1.36\].
First, we will remove the decimal from the given number. So, to remove the decimal from the given number we will multiply and divide the given number by 100. Therefore, we get
\[1.36 = \dfrac{{1.36 \times 100}}{{100}}\]
Now we will solve the multiplication present in the numerator of the equation to get the number in the fraction form, we get
\[ \Rightarrow 1.36 = \dfrac{{136}}{{100}}\]
Now we can see that there is a common factor between numerator and denominator. So, we will cancel out the common factor to simplify the fraction.
Dividing the numerator and denominator by 2, we get
\[ \Rightarrow 1.36 = \dfrac{{68}}{{50}}\]
Again dividing the numerator and denominator by 2, we get
\[ \Rightarrow 1.36 = \dfrac{{34}}{{25}}\]
As there is no common factor between the numerator and denominator of the above fraction, so we cannot simplify it further

Hence, the fraction of the number \[1.36\] can be expressed as \[\dfrac{{34}}{{25}}\].

Note:
There are three main types of fractions i.e. proper fractions, improper fractions, and mixed fractions. A proper fraction is a fraction having the numerator less or lowers 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. A mixed Fraction is the combination of a natural number and fraction.