which of the number is closet to 76/77 + 78/79 + 65/66
Answers
Given :- which of the number is closet to 76/77 + 78/79 + 65/66 ?
Solution :-
(76/77) :-
- Numerator - Denominator = 1
so,
- 76/77 = 0.987 ≈ 0.99 ≈ 1
(78/79)
- Numerator - Denominator = 1
so,
- 78/79 = 0.987 ≈ 0.99 ≈ 1
(65/66)
- Numerator - Denominator = 1
so,
- 65/66 = 0.98 ≈ 1
then,
→ 76/77 + 78/79 + 65/66
→ 1 + 1 + 1
→ 3
Hence, required sum will be closet to number 3 .
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Given :
76/77
78/79
65/66
To Find : Which number is closest to 1
Solution:
76/77
= (77 - 1)/77
= 1 - 1/77
78/79
= (79 - 1)/79
= 1 - 1/79
65/66
= (66- 1)/66
= 1 - 1 /66
79 > 77 > 66
=> 1/79 < 1/77 < 1/66
As 1/79 is smallest Hence
78/79 is closest to 1
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