Step 2.

1) Compare the ratios 5 : 12 and 3 : 8.

5 : 12 = 5/12 and 3 : 8 = 3/8

LCM of 12 and 8 is 24

(5 x 2)/(12 x 2) = 10/24 and (3 x 3)/(8 x 3) = 9/24

Clearly, 10 > 9

∴ 10/24 > 9/24

⇒ 5/12 > 3/8.

⇒ 5 : 12 > 3 : 8.

--------------------------------------------------------------------

2) Compare the ratios 7 : 6 and 24 : 9.

7 : 6 = 7/6 and 24 : 9 = 24/9

LCM of 6 and 9 is 18.

(7 x 3)/(6 x 3) = 21/18 and (24 x 2)/(9 x 2) = 48/18

Clearly, 21 < 48

&there4 21/18 < 48/18

⇒ 7/6 < 24/9

⇒ 7 : 6 < 24 : 9.

--------------------------------------------------------------------

3) Compare the ratios 4 : 7 and 5 : 8

4 : 7 = 4/7 and 5 : 8 = 5/8

LCM of 7 and 8 is 56.

(4 x 8)/(7 x 8) = 32/56 and (5 x 7)/(8 x 7) = 35/56

Clearly, 32 < 35

&there4 32/56 < 35/56

⇒ 4/7< 5/8

⇒ 4 : 7 < 5 : 8

• Ratio and Proportion

• Ratio in the simplest form

• Comparison of ratios

• Equivalent ratios

• Proportion

• Continued Proportion

Home Page

We at **ask-math **believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

**We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.**

**Affiliations with Schools & Educational institutions are also welcome.**

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.