The value of the required division of \(\dfrac{3}{4}\) and \(\dfrac{1}{6}\) in the simplest form will be \(\dfrac{9}{2}\).
The given fractions are \(\dfrac{3}{4}\) and \(\dfrac{1}{6}\).
It is required to get the simplest form of division of \(\dfrac{3}{4}\) by \(\dfrac{1}{6}\).
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,
\(f=\dfrac{\frac{3}{4}}{\frac{1}{6}}\\f=\dfrac{3}{4}\times\dfrac{6}{1}\\f=\dfrac{9}{2}\)
Therefore, the value of required division in the simplest form will be \(\dfrac{9}{2}\).
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