Question

\(\frac{1}{2}\times\frac{2}{3}+\frac{1}{3}\times\frac{3}{4}+\frac{1}{4}\times5=?\)

Answer 1

\(\frac{1}{2}\times3+\frac{1}{3}\times4+\frac{1}{4}\times5=\frac{3}{2}+\frac{4}{3}+\frac{5}{4}=\frac{18}{12}+\frac{16}{12}+\frac{15}{12}=\frac{18+16+15}{12}=\frac{49}{12}=4\frac{1}{12}\)

Answer 2

\(=\frac{1}{3}+\frac{1}{4}+\frac{5}{4}=\frac{11}{6}\)