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\frac{12+2}{4}-\frac{2\times 4+3}{4}
Multiply 3 and 4 to get 12.
\frac{14}{4}-\frac{2\times 4+3}{4}
Add 12 and 2 to get 14.
\frac{7}{2}-\frac{2\times 4+3}{4}
Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.
\frac{7}{2}-\frac{8+3}{4}
Multiply 2 and 4 to get 8.
\frac{7}{2}-\frac{11}{4}
Add 8 and 3 to get 11.
\frac{14}{4}-\frac{11}{4}
Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{11}{4} to fractions with denominator 4.
\frac{14-11}{4}
Since \frac{14}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{4}
Subtract 11 from 14 to get 3.