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Divide 2 /(5 / 12) and express the result in fraction form.
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Answer

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Step 1:
: To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction.

So, we have to find the reciprocal of the fraction $$\frac{5}{12}$$.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

Step 2:
: Reciprocal of \frac{5}{12} is \frac{12}{5}.

Step 3:
: Now, multiply the fraction \frac{2}{1} by its reciprocal.

\frac{2}{1} imes \frac{12}{5}

Step 4:
: Multiply the numerators and denominators separately.

So, we get $$\frac{24}{5}$$.

Final Answer

The result of dividing \frac{2}{1} by \frac{5}{12} in fraction form is \frac{24}{5}.