The number of a fraction is 7 less than the denominator If the denominator is increased by 9 and the numerator by 2 , we get the same fraction .
find the fraction
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denominator = a
numerator = a - 7
a - 7
a
a - 7 + 2 = a - 5
a + 9 a + 9
a - 7 = a - 5
a a + 9
(a-7) (a+9) = a(a-5)
a² - 7a + 9a - 63 = a² - 5a
7a = 63
a = 9
9 - 7 = 2
fraction = 2/9
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