The value of the required division of [tex]\dfrac{3}{4}[/tex] and [tex]\dfrac{1}{6}[/tex] in the simplest form will be [tex]\dfrac{9}{2}[/tex].
The given fractions are [tex]\dfrac{3}{4}[/tex] and [tex]\dfrac{1}{6}[/tex].
It is required to get the simplest form of division of [tex]\dfrac{3}{4}[/tex] by [tex]\dfrac{1}{6}[/tex].
How to get the simplest form of fraction division?
- Firstly divide the fractions using algebra rules.
- Then, write the fraction in its simplest form.
The given division can be solved as,
[tex]f=\dfrac{\frac{3}{4}}{\frac{1}{6}}\\f=\dfrac{3}{4}\times\dfrac{6}{1}\\f=\dfrac{9}{2}[/tex]
Therefore, the value of required division in the simplest form will be [tex]\dfrac{9}{2}[/tex].
For more details about fractions, refer to the link:
https://brainly.com/question/1301963
