Which is the largest ratio 5/36, 2:9, 3 to 18, 1:3
Answers
Question :- Which is the largest ratio 5/36, 2:9, 3 to 18, 1:3 ?
Solution :-
writing all given ratios in fraction we get :-
- 5/36 = 5/36 .
- 2 : 9 = 2/9
- 3 to 18 = 3/18 = 1/6 .
- 1 : 3 = 1/3 .
Now, Taking LCM of all denominators we get,
LCM of 36, 9 , 6 and 3 is :-
2 | 36 - 9 - 6 - 3
3 | 18 - 9 - 3 - 3
3 | 6 - 3 - 1 - 1
2 - 1 - 1 - 1
LCM = 2 * 3 * 3 * 2 = 36 .
So,
→ (5/36) , (2/9) , (1/6) , (1/3)
Making all denominator same equal to LCM now, we get,
→ (5/36) * (1/1) , (2/9) * (4/4) , (1/6) * (6/6) , (1/3) * (12/12)
→ (5/36) , (8/36) , (6/36) , (12/36)
Now, comparing all numerator, we get,
→ 5 < 6 < 8 < 12 .
→ 12 is largest here.
Therefore, we can conclude that,
→ (12/36) = (1/3) = 1 : 3 is the largest ratio.
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Answer:
1:3 Thanks for the points :) have A good day
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