Comparing ratios

Let’s check which ratio is greater

2 : 1 or 1 : 2

To check,

  we write ratio in fraction form

2/1 or 1/2

So, we have to find greater of  2/1 & 1/2

First, we make denominator same

Common denominator = LCM of 1 & 2

     = 2

Thus,

       2/1  = 2/1 × 2/2  = 4/2

       1/2  = 1/2

So,

  4/2 > 1/2

   i.e.  2/1 > 1/2

∴ 2 : 1 is greater ratio

Compare 4 : 2 & 3 : 2

Writing ratio in fraction form

  4/2 & 3/2

Here denominator are same

Now, number with greater numerator is greater,

  4/2 > 3/2

∴ 4 : 2 > 3 : 2

So, 4 : 2 is the greater ratio

Compare 7 : 3 & 5 : 2

Writing ratio in fraction form

  7/3 & 5/2

First, we have to make denominator same,

Common denominator = L.C.M of 3 & 2

= 2 × 3

= 6

Thus,

  7/3       = 7/3 × 2/2       = 14/6

  5/2       = 5/2 × 3/3       = 15/6

So,

   14/6 < 15/6

   7 : 3 < 5 : 2

So , 5 : 2 is the greater ratio