the denominator of a fraction is 4 more than twice its numerator. denominatior becomes 12 times the numerator, if both the numerator and the denominatior are reduced by 6. find the fraction
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Let the fraction be p/q. It is given
q=4+2p
(p-6)/(q-6)=1/12
(p-6)/(4+2p-6)=1/12
(p-6)/(2p-2)=1/12
(p-6)/p-1)=1/6
6×(p-6)=p-1
6p-36=p-1
5p=35
p=7
q=4+2p=4+(2×7)=18
Fraction=7/18
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