if the numerator of a fraction is increased by 25%and the denominator is increased by 10%,it becomes 2/5.find the original fraction
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Answer:
5/11
Step-by-step explanation:
let the numerator be x and denominator be y
It is given that the numerator of the fraction is increased by 25% and denominator of the fraction is increased by 10%
putting the value in numerator x+x/4
putting the value in denominator y+y/10
we get x+x/4/y+y/10 = 2/5
4x+4/4/10y+y/10 = 2/5
5x/4/11y/10 = 2/5
25x/22y = 2/5
from this equation we get x/y = 2*25/5*22= 5/11
Hence the value of x/y is 5/11.
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