Question

How do you divide \[344\] by \[8\] \[?\]

Answer 1

Hint:The given question describes the operation of addition/ subtraction/ multiplication/ division. We need to know the process of finding the greatest common factor between the numerator and denominator in the division operation. Also, we can multiply or divide any number with the numerator as same as the denominator to make an easy calculation.

Complete step by step solution:
The given question is shown below,
 \[\dfrac{{344}}{8}\] \[ = ?\]
To simplify the above-mentioned fraction term, we have to find the greatest common factor
between the numerator and denominator. Let’s see the definition for the greatest common factor if the numerator and denominator are divided by the same term which is called the greatest common factor. If we see the numerator we have \[344\] , that can be divided by \[1,2,4,8,....\] . In the denominator we have \[8\] , which can be divided by \[1,2,4,8\] . By comparing the numerator and denominator’s division factor, the term \[8\] is common in both numerator and denominator.
So, the greatest common factor of the given question is \[8\] .
Let’s divide the numerator and denominator by \[8\] . So, we get
 \[\dfrac{{344}}{8} = \dfrac{{\left( {\dfrac{{344}}{8}} \right)}}{{\left( {\dfrac{8}{8}} \right)}}\]
 \[\left( {\dfrac{{344}}{8}} \right) = \dfrac{{43}}{1}\]
The above equation can be solved by the following operation,
So, here, we use normal division. The value of the quotient is to be the final answer. We use normal division till the remainder becomes zero.

So, the final answer is,
 \[\dfrac{{344}}{8} = 43\]

Note: In this type of question we would use the operation of addition/ subtraction/ multiplication/ division. Note that we would find the greatest common factor between the numerator and denominator. While finding the greatest common factor we shouldn’t take \[1\] it as the greatest common factor. If we take \[1\] as a greatest common factor we didn’t get a simplified form of a question. Also, note that the denominator would not be equal to zero, so we won’t take zero as the greatest common factor.