Question

Tính:

\(D=\dfrac{2}{3}.\dfrac{5}{5.8}+\dfrac{11}{8.19}+\dfrac{13}{19.32}\)

Answer 1

\(D=\dfrac{2}{3}.\dfrac{5}{5.8}+\dfrac{11}{8.19}+\dfrac{13}{19.32}\)

\(D=\dfrac{2.5}{2.5.8}+\dfrac{1}{19}.\dfrac{11}{8}+\dfrac{1}{19}.\dfrac{13}{32}\)

\(D=\dfrac{1}{12}+\dfrac{1}{19}.\left(\dfrac{11}{8}+\dfrac{13}{32}\right)\)

\(D=\dfrac{1}{12}+\dfrac{1}{19}.\left(\dfrac{44}{32}+\dfrac{13}{32}\right)\)

\(D=\dfrac{1}{12}+\dfrac{1}{19}.\dfrac{57}{32}\)

\(D=\dfrac{1}{12}+\dfrac{3}{32}\)

\(D=\dfrac{8}{96}+\dfrac{9}{96}\)

\(D=\dfrac{17}{96}\)