Numbers beetween 1/4 and1/3
Answers
Answer:
find the lcm of 4 and 3
lcm is 12
so 1/4×3 1/3×4
3/12 4/12
now multiply the numerator and denominator with any no u like
here i would like to take 10
so, 3/12×10 4/12×10
30/120 40/120
hence the numbers are 31 32 33 34 35 .....
Explanation:
We can find infinitely many fractions between 1/3 and 1/4.
1) 1/2 (1/3 + 1/4) = 1/2 (4/12 + 3/12) = 7/24.
7/24 is between 1/4 & 1/3 .
2) 1/2 (1/3 + 7/24)=1/2 (8/24 + 7/24) = 15/48 = 5/16.
15/48 is between 7/24 & 1/3, but 7/24 > 1/4 .
3) 1/2 (15/48 + 1/3)=1/2 (5/16 + 1/3) = 1/2 (15/48 + 16/48) = 31/96 ..........etc.,
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Thank You.