Question

2/3+2+4/18=

4/3 - 2/5 +1/2 =

1/72 +1/56+1/42+1/30 + 1/20 +1/12=

Answer 1

\(\frac{2}{3}+2+\frac{4}{18}=\frac{2}{3}+2+\frac{2}{9}=\frac{6}{9}+\frac{18}{9}+\frac{2}{9}=\frac{6+18+2}{9}=\frac{26}{9}\)\(\frac{26}{9}\)

\(\frac{4}{3}-\frac{2}{5}+\frac{1}{2}=\frac{40}{30}-\frac{12}{30}+\frac{15}{30}=\frac{40-12+15}{30}=\frac{43}{30}\)

\(\frac{1}{72}+\frac{1}{56}+\frac{1}{42}+\frac{1}{30}+\frac{1}{20}+\frac{1}{12}=\)\(\frac{1}{8}-\frac{1}{9}+\frac{1}{7}-\frac{1}{8}+\frac{1}{6}-\frac{1}{7}+\frac{1}{5}-\frac{1}{6}+\frac{1}{4}-\frac{1}{5}+\frac{1}{3}-\frac{1}{4}=\)\(\frac{1}{3}-\frac{1}{9}=\frac{3}{9}-\frac{1}{9}=\frac{3-1}{9}=\frac{2}{9}\)