Question

132÷1716 show your work

Answer 1

We will investigate the process of division and express a fraction in its simplest form.

We are given the following operation of division to be performed:

$132\text{ / 1716}$

We can express the above operation in a form of a fraction as follows:

$\frac{132}{1716}$

Whenever we are looking at the simplification process we try to determine the divisibility of both numerator an denominator with a common integer.

We see that both numerator and denominator are divisible by integer ( 3 ). Hence, we can go ahead and write down the divisibility of both numerator and denominator by 3 in the fraction form:

$\begin{gathered} \frac{132}{1716}=\frac{44}{572}\ldots\text{ Divisibility of ( 3 )} \\ \\ \frac{44}{572} \end{gathered}$

We see that both numerator and denominator are divisible by integer ( 11 ). Hence, we can go ahead and write down the divisibility of both numerator and denominator by 11 in the fraction form:

$\begin{gathered} \frac{44}{572}\text{ = }\frac{4}{52}\ldots\text{ Divisibility of ( 11 )} \\ \\ \frac{4}{52} \end{gathered}$

Next we see that we can further perform the divisibility operation by dividing both numerator and denominator by ( 4 ) and express in fraction in its simplest form:

$\begin{gathered} \frac{4}{52}\text{ = }\frac{1}{13}\ldots\text{ Divisibility of ( 4 ) } \\ \\ \frac{1}{13} \end{gathered}$

The above result is expressed in its most simplest form. This means the numerator and denominator can not be further divided or divisible by any common integer other than ( 1 ). Hence, we have arrived at the simplest answer to the division operation:

$\frac{1}{13}\ldots Answer$