a number is subtracted fro the numerator of the fraction 12/13 and six times that number is added to the denominator. if the new fraction is 1/11, then find the number
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let
the number be = n
then
fraction = (12 - n) ÷ (13 + 6n) = 1÷ 11
13 + 6n = 132 - 11n
6n + 11n = 132 - 13
17n = 119
n = 119 ÷ 17
n = 7
then n = 7 , the number is 7
the number be = n
then
fraction = (12 - n) ÷ (13 + 6n) = 1÷ 11
13 + 6n = 132 - 11n
6n + 11n = 132 - 13
17n = 119
n = 119 ÷ 17
n = 7
then n = 7 , the number is 7
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