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F=\frac{3}{6}+\frac{2}{6}+\frac{11}{4}+750
Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.
F=\frac{3+2}{6}+\frac{11}{4}+750
Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.
F=\frac{5}{6}+\frac{11}{4}+750
Add 3 and 2 to get 5.
F=\frac{10}{12}+\frac{33}{12}+750
Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{11}{4} to fractions with denominator 12.
F=\frac{10+33}{12}+750
Since \frac{10}{12} and \frac{33}{12} have the same denominator, add them by adding their numerators.
F=\frac{43}{12}+750
Add 10 and 33 to get 43.
F=\frac{43}{12}+\frac{9000}{12}
Convert 750 to fraction \frac{9000}{12}.
F=\frac{43+9000}{12}
Since \frac{43}{12} and \frac{9000}{12} have the same denominator, add them by adding their numerators.
F=\frac{9043}{12}
Add 43 and 9000 to get 9043.