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\frac{1}{2}\times 4\left(-\frac{1}{3}\right)
Divide \frac{1}{2} by \frac{1}{4} by multiplying \frac{1}{2} by the reciprocal of \frac{1}{4}.
\frac{4}{2}\left(-\frac{1}{3}\right)
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
2\left(-\frac{1}{3}\right)
Divide 4 by 2 to get 2.
\frac{2\left(-1\right)}{3}
Express 2\left(-\frac{1}{3}\right) as a single fraction.
\frac{-2}{3}
Multiply 2 and -1 to get -2.
-\frac{2}{3}
Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.