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\frac{\left(6\left(-5\right)+4\right)\times 3}{-5\times 5}
Divide \frac{6\left(-5\right)+4}{-5} by \frac{5}{3} by multiplying \frac{6\left(-5\right)+4}{-5} by the reciprocal of \frac{5}{3}.
\frac{\left(-30+4\right)\times 3}{-5\times 5}
Multiply 6 and -5 to get -30.
\frac{-26\times 3}{-5\times 5}
Add -30 and 4 to get -26.
\frac{-78}{-5\times 5}
Multiply -26 and 3 to get -78.
\frac{-78}{-25}
Multiply -5 and 5 to get -25.
\frac{78}{25}
Fraction \frac{-78}{-25} can be simplified to \frac{78}{25} by removing the negative sign from both the numerator and the denominator.