Detailed solution: Taking L.C.M of denominators We get,L.C.M = 1287 ⇒The above numbers can be written as 63/1287, 65/1287, 45/1287, 77/1287 ∴7/117 is the greater among the following Alternative method 1: 7/117 is greater than 7/143 denominator of 7/117 is lesser than 7/143. Among 5/117 and 7/117, We can say that 7/117 is greater than 5/117 since it's numerator is greater but denominator is same ∴ 7/117 is greater among the following Alternative method 2:Takeapproximate inverse value of each fraction:
Now the fraction with the least value of the inverse ratio will have the larger value.Since 117/7 has an approximate value of 17, inverse of it that is 1/17 is the greatest value∴Answer is 7/117