7. The denominator of a fraction is 3 less than twice
the numerator. If the numerator is increased by 1, the
fraction becomes 3/5. Find the fraction.
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Answer:
Let the numerator be x. Then it's denominator is 2x-1
If the numerator and the denominator both increased by 1 the fraction becomes 3/5.
So (x+1)/(2x-1+1) = 3/5
ie (x+1)/2x = 3/5 => 6x = 5x + 5 => x = 5
So the numerator is 5 and hence the denominator is 2×5 - 1= 9
So the fraction is 5/9
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