the numerator of a fraction is 4 less than its denominator. If the denominator and numerator are both increased by 1, the new fraction becomes 5/7. find the original fraction.
the numerator of a fraction is 4 less than its denominator. If the denominator and numerator are both increased by 1, the new fraction becomes 5/7. find the original fraction.
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Step-by-step explanation:
let the fraction be (x-4)/x
Accordingto the question
(x-4+1)/x+1 = 5/7
=> (x-3)/ x+1 = 5/7
=> 7(x-3) = 5( x+1) ( By cross multiplication)
=> 7x - 21 = 5x +5
=> 7x - 5x = 5+ 21
=> 2x= 26
=> x= 26/2 = 13
original fraction = (13-4)/ 13 = 9/13