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The numerator of a fraction is 3 times the denominator If the numerator is decreased by 1 and the denominator is increased by 2 the resulting fraction is 5 over 2 what is the original fraction?
Wiki User
∙ 13y ago
let the denominator=x then numerator=3x
Thus the fraction=3x/x
now according to given condition if the numerator is decreased by 1 and denominator increased by 2 the new fraction would be 3x-1/x+2 which will be equal to 5/2
thus 3x-1/x+2=5/2
2(3x-1)=5(x+2)
6x-2=5x+10
x=12 thus the original fraction is 3(12)/12=36/12
Check:36-1/12+2=35/14=5/2:)
Wiki User
∙ 13y ago
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