Question

Which of the following fractions has the largest value :
A)$\frac{21}{25}$
B)$\frac{27}{30}$
C)$\frac{41}{50}$
D)$\frac{58}{60}$

Answer 1

L.C.M. of $25,30,50,60=5\times 5\times 3\times 2\times 2=300$

To compare the fractions we need to convert them into like fractions as

$\frac{21\times 12}{25\times 12}=\frac{252}{300}$, $\frac{27\times 10}{30\times 10}=\frac{270}{300}$, $\frac{41\times 6}{50\times 6}=\frac{246}{300}$, $\frac{58\times 5}{60\times 5}=\frac{290}{300}$

Clearly, we se that $\frac{290}{300}$ has the largest value so fraction corresponding to it is $\frac{58}{60}$ i.e. Option D