6. If the same number is added to the numerator and denominator of 9 , what 6 that number?
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If the same number is added to both the numerator and denominator of the fraction 6/9 and get a result of 2, what number is added?
Let the number be n than we can make an easiy equation[1]:
6+n9+n=2∣×(9+n)
6+n=18+2n∣−n−18,⟺
n=−12
The number is −12
It checks out:
6+(−12)9+(−12)=−6−3=63=2
Just remember −a−b=ab
Since (−a)×1−b=a×1b [2]
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