Short Cut: For solving such problems.

farooq wrote:Hi,

How I can calculate and solve it quickly?

If there is any short-cut or mathematical trick to solve such problem, please share key trick with me.

IMO A

3/4>1/2>17/24>9/16>3/8

so the middle no is 17/24

OA pls?

Hi Farooq !

I suppose that the quickest way to solve the problem is to find the least common denominator that is 48.
Then you can evaluate all numbers by their nominator.

Alternatively, you can look at the numbers and check their relative value, i.e. compare them

1/2 is a good start. 3/8 is smaller than 1/2. 3/4 is bigger and 17/24 is roughly equal to 3/4.
9/16 is only slightly bigger than 1/2, making it smaller than 3/4 and 17/24

IMO E (9/16)

OA pls?

yes, find a common denominator , in this case it is 48,

you have here, from greatest to least: 36/48, 34/48,27/48, 24/48, 18/48,

middle one is 27/48 = 9/16 E

sorry im probably a noob for asking this: what does IMO stand for???

IMO - In my opinion

Answer should be E.

In terms of shortcuts, I converted everything to decimal form in a rough estimate kind of way:

17/24 - I know that 16/24 = 2/3 = .666, so 17/24 is a little more than that.
1/2 - 0.5
3/8 - I know this is equal to 0.375, but another way to think of it is 2/8 = 1/4 = 0.25, and 4/8 = 0.5, that means 3/8 is right in between, which is the average of the two.
9/16 - 8/16 = 0.50, so 9/16 is a little more than that.
3/4 - 0.75

Now just line it up from greatest to least:
3/4,17/24,9/16,1/2,3/8. Middle one is 9/16