Find the fraction which is as much greater than 5/6 as is less than 2/3
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We have to find a fraction which is as much greater than 4/7 as it is less than
5/6.
Therefore,
According to the question.
x/1 - 4/7 = 5/6 - x/1
Taking L.C.M. of the denominators of the both sides and then solving it.
⇒ (7x - 4)/7 = (5 - 6x)/6
Now, we will do cross multiplication.
⇒ 42x - 24 = 35 - 42x
⇒ 42x + 42x = 35 + 24
⇒ 84x = 59
⇒ x = 59/84
Therefore, the required fraction is 59/84 which is as much greater than 4/7
and as it is less than 5/6.
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