The numerator of a fraction is one less than the denominator. If
and denominator, the fraction increases to 3/28. Find the fracti
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Step-by-step explanation:Let the Denominator = x
numerator = (x-1)
fraction = numerator/denominator
Fraction = x-1/x
A.T.Q
x-1+3/x+3 = x-1/x + 3/28
x+2/x+3 = 28x - 28 + 3x/ 28x
28x(x+2) = (31x - 28)(x+3)
28x² + 56x = 31x² - 28x + 93x - 84
31x² - 28x² + 93x - 28x - 56x - 84
3x² + 9x - 84
[ Divide by 3]
x²+ 3x - 28
x²+ 7x - 4x - 28
x(x+7) -4(x+7)
(x-4) (x+7)
x = 4 or -7 [x is a natural number, x>0]
Hence , x= 4
Fraction = x-1/ x = 4-1 /4 = ¾
Hence, the fraction is 3/4
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