Question

Which of the following fractions is greater than $\frac{3}{4}$ and less than $\frac{5}{6}$?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

First of all, we have to make the denominator of all the given fractions equal.
So, L.C.M. of 4, 5 and 6 is 60.
$\frac{3}{4}\times \frac{15}{15}=\frac{45}{60}$
$\frac{5}{6}\times \frac{10}{10}=\frac{50}{60}$
$\frac{3}{5}\times \frac{12}{12}=\frac{36}{60}$
$\frac{4}{5}\times \frac{12}{12}=\frac{48}{60}$
$\frac{7}{5}\times \frac{12}{12}=\frac{84}{60}$
$\frac{9}{5}\times \frac{12}{12}=\frac{108}{60}$
$\frac{48}{60}$ lies between $\frac{45}{60}$ and $\frac{50}{60}$.
So, the corresponding fraction is $\frac{4}{5}$.