Comparing ratios

Last updated at April 16, 2024 by

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

4.jpg

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

Transcript

Common denominator = LCM of 1 & 2 = 2 Thus, 2/1 2/1 × 2/2 = 4/2 1/2 So, 4/2 > 1/2 i.e. 2/1 > 1/2 ∴ 2 : 1 is greater ratio

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.