a) \(1\frac{1}{2}+1\frac{1}{3}=\left(1+1\right)\frac{1}{2}+\frac{1}{3}=2+\frac{5}{6}=2\frac{5}{6}\)
b) \(2\frac{2}{3}-1\frac{4}{7}=\left(2-1\right)\frac{2}{3}-\frac{4}{7}=1+\frac{2}{21}=1\frac{2}{21}\)
c) \(2\frac{2}{3}\times5\frac{1}{4}=\frac{8}{3}\times\frac{21}{4}=14\)
d) \(3\frac{1}{2}:2\frac{1}{4}=\frac{7}{2}:\frac{9}{4}=\frac{7}{2}\times\frac{4}{9}=\frac{14}{9}\)
a) \(1\frac{1}{2}+1\frac{1}{3}=\frac{3}{2}+\frac{4}{3}=\frac{17}{6}\)
b) \(2\frac{2}{3}-1\frac{4}{7}=\frac{8}{3}-\frac{11}{4}=\frac{23}{21}\)
c) \(2\frac{2}{3}\times5\frac{1}{4}=\frac{8}{3}\times\frac{21}{4}=14\)
d) \(3\frac{1}{2}\div2\frac{1}{4}=\frac{7}{2}\div\frac{9}{4}=\frac{14}{9}\)