Which of the following fractions is greater than $\dfrac{3}{4}$ and less than $\dfrac{5}{6}$ ?
$ \dfrac{1}{2} $
$ \dfrac{2}{3} $
$ \dfrac{4}{5} $
$ \dfrac{9}{10}$
Explanation:
$ \dfrac{3}{4} $= 0.75, $ \dfrac{5}{6} $= 0.833, $ \dfrac{1}{2} $= 0.5, $ \dfrac{2}{3} $= 0.66, $ \dfrac{4}{5} $= 0.8, $ \dfrac{9}{10} $= 0.9.
Clearly, 0.8 lies between 0.75 and 0.833.
$\therefore \dfrac{4}{5} $lies between$ \dfrac{3}{4} $and$ \dfrac{5}{6} $.