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How do you find $12$ divided by $3$?

Answer
VerifiedVerified
546.6k+ views
Hint:
Here we need to know that whenever we divide $m{\text{ by }}n$ we need to know that $m$ is called the dividend and $n$ is termed as the divisor and in these terms, we need to find the quotient which is the term with which we multiply$n{\text{ to get }}m$. So we can write $12{\text{ as }}(4)(3)$ and get the required result.

Complete step by step solution:
Here we are given to find the result that we will get when we divide $12{\text{ by 3}}$
So we need to know that when we divide any number with another number, the number that is to be divided is termed as the dividend and the number that divides the dividend is termed as the divisor. The result we get is termed as the quotient.
So we can write the given information in the fraction form as:
$\dfrac{{12}}{3}$
Now we can make the factors of $12$ and we can write $12$ as the product of the two factors but one of the factors need to be $3$so that $3$ in the denominator cancels out with that one and we get the proper number as our result which will be our quotient.
So we can write $12$ as:
$
  12 = (1)(12) \\
  12 = (2)(6) \\
  12 = (3)(4) \\
 $
So we get factors of it as $1,2,3,4,6,12$
So we can replace the numerator $12$ and write it in the form of $(3)(4)$ as it includes $3$ as one of the factors.
So we will get:
$\dfrac{{12}}{3} = \dfrac{{(3)(4)}}{3}$
Now we can cancel both the $3'{\text{s}}$ of the numerator and the denominator and we will get:

$\dfrac{{(3)(4)}}{3} = 4$

Note:
Here the student must know that when we are given to solve such a problem, we just need to recognize that we need to find the factors of the dividend carefully and then write the dividend as the product of the two factors in the numerator keeping in mind the denominator that is a divisor.
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