Question

Improper fraction of \[12\dfrac{1}{6}\] is
A.\[\dfrac{{72}}{6}\]
B.\[\dfrac{{73}}{6}\]
C.\[\dfrac{{108}}{6}\]
D.\[\dfrac{{85}}{6}\]

Answer 1

Hint: Here we are required to find the improper fraction of the given mixed fraction. We will apply the steps of conversion of mixed fractions into improper fractions. We will multiply the whole number by the denominator and then adding it to the given numerator we will get the required improper fraction of \[12\dfrac{1}{6}\].

Complete step-by-step answer:
WE are given a mixed fraction: \[12\dfrac{1}{6}\]
Now, in order to convert this mixed fraction into an improper fraction, we are required to follow 3 steps:
First of all, we will multiply the whole number with the denominator of the given fraction.
Secondly, we will add the product obtained to the numerator.
And, finally we will consider the number obtained as the new numerator of our required improper fraction, where the denominator will remain the same.
Hence, if we try to obtain the improper fraction of \[12\dfrac{1}{6}\]
Then,
Product of the whole number 12 and the denominator 6 is \[ = 12 \times 6 = 72\]
The given numerator is 1. Hence, adding the product obtained in the numerator, we get \[1 + 72 = 73\]
Now, substituting this value in the place of the numerator, we get the required improper fraction as \[\dfrac{{73}}{6}\]
Therefore, following these steps helped us to reach the required answer.
Hence, the improper fraction of \[12\dfrac{1}{6}\] is \[\dfrac{{73}}{6}\].
Therefore, option B is the correct answer.

Note: A mixed fraction is a number which contains both the whole number and the proper fraction. Whereas, an improper fraction is a fraction where the numerator is greater than the denominator hence, it is called ‘improper’ fraction. When we convert a mixed fraction into an improper fraction, their values remain the same and only the way of writing those numbers is different.