Question

What is $12$ divided $\dfrac{1}{4}$?

Answer 1

Hint: Here we have to divide the whole number with fraction number. In mathematics, whole numbers are the basic counting numbers which start from $0,1,2,3.....$ and so on. And fractions are the numerical values that are a part of the whole. If any number or a thing is divided into equal parts, then each part will be the fraction of the whole.

Complete step by step solution:
Here we have to calculate the value when we divide$12$with$\dfrac{1}{4}$ . Numerically we can write it as:
$\Rightarrow 12\div \dfrac{1}{4}$
Now we can it is quite hard to divide $12$with $\dfrac{1}{4}$
To simplify these types of division, we will just change one thing in the above expression, then we can easily calculate our answer.
The given expression is:
$\Rightarrow 12\div \dfrac{1}{4}$
Now we know the basic four operations of mathematics which we usually use in almost all questions which are addition, multiplication, subtraction, division.
Here in the above question we will change this division with multiplication. But if we change division into multiplication or vice-versa, then the right hand side terms of division or multiplication will also be reciprocal.
So here the right hand side term of the division is$\dfrac{1}{4}$, it means the $\dfrac{1}{4}$will be reciprocal. Now the question arises what does reciprocal mean? Actually in reciprocal the numerator number becomes denominator and denominator number becomes numerator.
So the reciprocal of $\dfrac{1}{4}$is $\dfrac{4}{1}$ , then we get
$\Rightarrow 12\times \dfrac{4}{1}$
Now we can easily multiply$12\times 4$, then we get
$\Rightarrow \dfrac{48}{1}$
We can write is as also:
$\Rightarrow 12\div \dfrac{1}{4}=48$
Hence we get our required answer.

Note: In these types of questions sometimes students forget to reciprocal the right hand term, and answers become wrong. So whenever we have any question like this we have to solve it carefully.