Вопрос:

Simplify the expression: $\frac{1}{12}m - \frac{1}{4}m - \frac{1}{3}m$

Ответ:

First, we need to find a common denominator for the fractions. The least common multiple of 12, 4, and 3 is 12.
Now, we rewrite the fractions with the common denominator:
$$ \frac{1}{12}m - \frac{1}{4}m - \frac{1}{3}m = \frac{1}{12}m - \frac{3}{12}m - \frac{4}{12}m $$
Now, we combine the fractions:
$$ \frac{1}{12}m - \frac{3}{12}m - \frac{4}{12}m = \frac{1 - 3 - 4}{12}m = \frac{-6}{12}m $$
Simplify the fraction:
$$ \frac{-6}{12}m = -\frac{1}{2}m $$
Answer: $-\frac{1}{2}m$
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