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n_{0}-\frac{4}{5}\left(-\frac{2}{6}\right)
Multiply \frac{4}{5} and 1 to get \frac{4}{5}.
n_{0}-\frac{4}{5}\left(-\frac{1}{3}\right)
Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.
n_{0}-\frac{4\left(-1\right)}{5\times 3}
Multiply \frac{4}{5} times -\frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
n_{0}-\frac{-4}{15}
Do the multiplications in the fraction \frac{4\left(-1\right)}{5\times 3}.
n_{0}-\left(-\frac{4}{15}\right)
Fraction \frac{-4}{15} can be rewritten as -\frac{4}{15} by extracting the negative sign.
n_{0}+\frac{4}{15}
The opposite of -\frac{4}{15} is \frac{4}{15}.
\frac{15n_{0}+4}{15}
Factor out \frac{1}{15}.