Question

Which of the following fractions is the largest ?
(A) $\dfrac{{29}}{{30}}$
(B) $\dfrac{{29}}{{23}}$
(C) $\dfrac{{29}}{{27}}$
(D) $\dfrac{{29}}{{25}}$

Answer 1

Hint- In these particular types of questions we need to find the LCM of all the denominators and multiply the numerator with the common multiple. But since the LCM of 30 , 23 , 27 and 25 will be quite large and the question becomes complicated we need to find the smallest denominator to get the largest fraction.

Complete step-by-step solution-
Since all fractions are having the same numerator. So the question can also be solved by checking the fraction having the smallest denominator.
Hence $\dfrac{{29}}{{23}}$ is the largest .
Note-
Note that the LCM of such numbers becomes lengthy and thus solving the question using the complete method becomes quite tough and takes time . We compare denominators in this question only because the numerators are given the same .