Math, asked by dana2007, 2 months ago

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.​

Answers

Answered by anjalidas040
2

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

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