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\frac{9-\left(-12\right)}{6-4\left(-3\right)}
Multiply 3 and -4 to get -12.
\frac{9+12}{6-4\left(-3\right)}
The opposite of -12 is 12.
\frac{21}{6-4\left(-3\right)}
Add 9 and 12 to get 21.
\frac{21}{6-\left(-12\right)}
Multiply 4 and -3 to get -12.
\frac{21}{6+12}
The opposite of -12 is 12.
\frac{21}{18}
Add 6 and 12 to get 18.
\frac{7}{6}
Reduce the fraction \frac{21}{18} to lowest terms by extracting and canceling out 3.