Question

How do you write $ 11\dfrac{{39}}{{100}} $ as a decimal number?

Answer 1

Hint: In order to obtain the decimal equivalent of the above mixed fraction , first convert this fraction into a regular fraction of the form $ \dfrac{p}{q} $ by using the rule $ a\dfrac{x}{y} = \dfrac{{ay + x}}{y} $ .Since the denominator in our case is already in the form of 10 raised to power some $ n $ , simply shift the decimal point of the numerator value towards left up to places equal to the exponent value of 10 i.e. $ n $ or simply divide the fraction .

Complete step-by-step answer:
We are given a mixed fraction $ 11\dfrac{{39}}{{100}} $ .
In order to write the decimal equivalent of the above mixed lets first convert this mixed fraction in the regular fraction of the form
 $ \dfrac{p}{q} $ by using the rule $ a\dfrac{x}{y} = \dfrac{{ay + x}}{y} $
In our case we have $ x = 39,a = 11\,and\,y = 100 $
 $ 11\dfrac{{39}}{{100}} = \dfrac{{11\left( {100} \right) + 39}}{{100}} = \dfrac{{1100 + 39}}{{100}} = \dfrac{{1139}}{{100}} $
To convert any fraction into a decimal number, we try to make the denominator in the form of 10 raised to the power some $ n $ . But in our case, there is no need.
 $
   = \dfrac{{1139}}{{100}} \\
   = \dfrac{{1139}}{{{{10}^2}}} \;
  $
Now shift the decimal point of the numerator up to places equal tox the exponent value of
$ 10 $ i.e. 2 towards left side
 $ = 11.39 $
Therefore, the decimal equivalent of the fraction $ 11\dfrac{{39}}{{100}} $ is equal to
$ 11.39 $
So, the correct answer is “11.39”.

Note: 1. Cross-cross your result at least once.
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 $
3. If the denominator of the fraction is not possible to make in the form of 10 raised to the power some $ n $ , then simply divide the fraction by long division to obtain the result.