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\frac{4+1}{2}-\frac{4}{3}
Multiply 2 and 2 to get 4.
\frac{5}{2}-\frac{4}{3}
Add 4 and 1 to get 5.
\frac{15}{6}-\frac{8}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{4}{3} to fractions with denominator 6.
\frac{15-8}{6}
Since \frac{15}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{7}{6}
Subtract 8 from 15 to get 7.