Question

compare ratio√3/9 2/√7
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Answer 1

Step-by-step explanation:

Step 1 : Obtain the given rations.

Step 2: Express each ratio in the simplest fraction form.

Step 3: Find the LCM of the denominators of the fractions obtained in

Step 2.

Step 4 : Make the denominators same for each fractions.

Step 5 : Compare the numerators. The fraction having larger numerator will be larger than the other.

Examples :

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

Solution :

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.