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$1\frac{6}{12}-1\frac9{12}$

To make it easier, convert them to improper fractions.

$=\frac{18}{12}-\frac{21}{12}$

There is already a common denominator, so just subtract the fractions.

$=\frac{18-21}{12} \\~\\ =\frac{-3}{12}$

Reduce.

$=-\frac{1}{4}$