Fractions and Decimals
A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is ?
Let the fraction be N.Then, N / (13/14) - (13/14) x N = 3/65⇒ 14N/13 - 13N/14 = 3/65⇒ (196N - 169N)/182 = 3/65⇒ 27N/182 = 3/65∴ N = (3 x 182) / (27 x 65) = 14/45So, correct answer will be (13/14) x (14/45) = 13/45
Here, we have to find the value of 7/(8/9) - (7/8)/9.(7 x 9/8) - [(7/(8 x 9)]63/8 - 7/72[(63 x 9) - 7] / 72567 - 7/72 = 560/72 = 70/9 = 7 7/9.Hence, 7/(8/9) is greater than (7/8)/9 by 7 7/9.
Let X and Y are given fractions.Given that, fraction X is thrice the fraction Y;i.e., X = 3Y ...(1)And their product = X x Y = 25/12Sub. eqn (1) in above,(3Y)x(Y) = 25/123(Y²) = 25/12(Y²) = 25/36Y = 5/6Hence the required fraction is 5/6.
EXAMIANS