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:
=20 =24 =28 =17 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