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Given:
The expression is given as,
[tex]14\frac{10}{12}-9\frac{4}{12}[/tex]The objective is to subtract the given terms.
Explanation:
The expression can be subtracted by converting the mixed fraction as,
[tex]=\frac{(14\times12)+10}{12}-\frac{(9\times12)+4}{12}[/tex]On further solving the above expression,
[tex]\begin{gathered} =\frac{168+10}{12}-\frac{108+4}{12} \\ =\frac{178}{12}-\frac{112}{12} \\ =\frac{66}{12} \end{gathered}[/tex]On simplifying the above result,
[tex]\frac{66}{12}=\frac{11}{2}[/tex]Hence, the simplified value of the expression is 11/2.