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-\frac{7}{9}+\frac{4\times 1}{3\times 2}
Multiply \frac{4}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
-\frac{7}{9}+\frac{4}{6}
Do the multiplications in the fraction \frac{4\times 1}{3\times 2}.
-\frac{7}{9}+\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
-\frac{7}{9}+\frac{6}{9}
Least common multiple of 9 and 3 is 9. Convert -\frac{7}{9} and \frac{2}{3} to fractions with denominator 9.
\frac{-7+6}{9}
Since -\frac{7}{9} and \frac{6}{9} have the same denominator, add them by adding their numerators.
-\frac{1}{9}
Add -7 and 6 to get -1.