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\frac{5\left(-102\right)}{9}
Express \frac{5}{9}\left(-102\right) as a single fraction.
\frac{-510}{9}
Multiply 5 and -102 to get -510.
-\frac{170}{3}
Reduce the fraction \frac{-510}{9} to lowest terms by extracting and canceling out 3.