Question

Angel ate \[2\dfrac{1}{2}\] chapatis for lunch and \[3\dfrac{1}{2}\]chapatis for dinner. What is the total number of chapattis she ate?

Answer 1

Hint: To solve this question, we have to give the number of chapatis eaten by Angel in lunch and dinner in the mixed fraction. So to find a total number of chapattis first we have to convert the mixed fraction into a proper fraction and then add them to get the total number of chapatis eaten by Angel.

Complete step-by-step answer:
Given,
Number of chapatis eaten by angel in lunch \[ = 2\dfrac{1}{2}\]
Number of chapatis eaten by angel in dinner \[ = 3\dfrac{1}{2}\]
To find,
The total number of chapatis eaten by the angel in the whole day.
So, for finding the total number of chapattis first we have to convert the number of chapattis into proper fractions.
After converting in a proper fraction
Number of chapatis eaten by angel in lunch \[ = \dfrac{{2 \times 2 + 1}}{2}\]
Number of chapatis eaten by angel in lunch \[ = \dfrac{{4 + 1}}{2}\]
Number of chapatis eaten by angel in lunch \[ = \dfrac{5}{2}\] ……(i)
Number of chapatis eaten by angel in dinner \[ = \dfrac{{3 \times 2 + 1}}{2}\]
Number of chapatis eaten by angel in dinner \[ = \dfrac{{6 + 1}}{2}\]
Number of chapatis eaten by angel in dinner \[ = \dfrac{7}{2}\] ……(ii)
Total number of chapatis eaten by angel \[ = \] Number of chapatis eaten by angel in lunch \[ + \] Number of chapatis eaten by angel in dinner
On putting the values from the equation (i) and (ii) we get,
Total number of chapatis eaten by angel \[ = \dfrac{5}{2} + \dfrac{7}{2}\]
Total number of chapatis eaten by angel \[ = \dfrac{{5 + 7}}{2}\]
Total number of chapatis eaten by angel \[ = \dfrac{{12}}{2}\]
Total number of chapatis eaten by angel \[ = 6\]
Final answer:
The total number of chapatis eaten by the angel in a whole day is \[ = 6\].

Note: To solve this type of question you must have knowledge of proper, improper, and mixed fractions. And you are easily converted into one another. Mixed fractions are not added directly for adding mixed fractions you must have to convert the mixed fraction into a proper fraction and then add them.