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The common denominator of the two fractions is: 6

$ \frac{2}{3 }= \frac{(2*2)}{(2*3)} =\frac{ 4}{6} $

$ \frac{4}{6 }= \frac{(1*4)}{(1*6)} =\frac{ 4}{6} $

Fractions adjusted to a common denominator

$ \frac{2}{3 }-\frac{ 4}{6 }=\frac{ 4}{6 }-\frac{ 4}{6} $

$ \frac{4}{6 }-\frac{ 4}{6 }= \frac{(4-4)}{6} $

$ \frac{(4-4)}{6 }=\frac{ 0}{6} $

$ \frac{0}{6 }= 0 $

$ $

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