## Ratio and Proportion Solution5

In this page ratio and proportion solution5 we are going to see solution of each question from the worksheet ratio and proportion.

(4) Arrange the ratios in ascending order

(ii) 8 : 13 , 9 : 11 , 13 : 16 and 15 : 19

Solution:

Method 1 :

8 : 13 = 8/13

9 : 11 = 9/11

13 : 16 = 13/16

15 : 19 = 15/19

Since the denominators are not same,we have to take L.C.M to make them as same.

L.C.M of 13 , 11 ,16 and 19 is 43472

(8/13) x (3344/3344) = 26752/43472

(9/11) x (3952/3952) = 35568/43472

(13/16) x (2717/2717) = 35321/43472

(15/19) x (2288/2288) = 34320/43472

(26752/43472) < (34320/43472 ) < (35321/43472 ) < (35568/43472)

(8/13) < (15/19) < (13/16) < (9/11)

8 : 13 < 15 : 19 < 13 : 16 < 9 : 11

Therefore ascending order is 8 : 13 < 15 : 19 < 13 : 16 < 9 : 11

Method 2 :

8 : 13 = 8/13 = 0.615

9 : 11 = 9/11 = 0.818

13 : 16 = 13/16 = 0.812

15 : 19 = 15/19 = 0.789

By comparing the decimals we are going to write from smaller to greater.

0.615 < 0.789 < 0.812 < 0.818

(8/13) < (15/19) < (13/16) < (9/11)

8 : 13 < 15 : 19 < 13 : 16 < 9 : 11

Therefore ascending order is 8 : 13 < 15 : 19 < 13 : 16 < 9 : 11

(iii) 2 : 11 , 3 : 16 , 4 : 25 and 7 : 26

Solution:

Method 2 :

2 : 11 = 2/11 = 0.818

3 : 16 = 3/16 = 0.187

4 : 25 = 4/25 = 0.16

7 : 26 = 7/26 = 0.269

By comparing the decimals we are going to write from smaller to greater.

0.16 < 0.187 < 0.269 < 0.818

(4/25) < (3/16) < (7/26) < (2/11)

4 : 25 < 3 : 16 < 7 : 26 < 2 : 11

Therefore ascending order is 4 : 25 < 3 : 16 < 7 : 26 < 2 : 11

ratio and proportion solution5 ratio and proportion solution5