Short Cut: For solving such problems.

[farooq]

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.

[xcusemeplz2009]

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?

[NikolayZ]

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.

[bln123]

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

[gmatv09]

IMO E (9/16)

OA pls?

[hongwang9703]

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

[hongwang9703]

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

[CrackGMAC]

IMO - In my opinion

[mp2437]

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