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Let the numerator be x denominator y
then the fraction=x÷y
BTP
x+1÷y=3÷4
x÷y+2=1÷2
it implies that1. x=3y÷4-1
2.x=y+2÷2
it means 3y÷4-1=y+2÷2
3y÷4-y+2÷2=1
(3y-2y-4)÷4=1
y-4=4
Y=4+4=8
x=8+2÷2=5
thus the required fraction is 5÷8
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