Question

Answer 1

d.

\(=\dfrac{8}{3}-\dfrac{14}{15}:2=\dfrac{8}{3}-\dfrac{7}{15}=\dfrac{40}{15}-\dfrac{7}{15}=\dfrac{33}{15}=\dfrac{11}{5}\)

e.

\(=\dfrac{7}{19}\left(\dfrac{8}{11}+\dfrac{3}{11}\right)+\dfrac{12}{19}=\dfrac{7}{19}+\dfrac{12}{19}=\dfrac{19}{19}=1\)

g.

\(=\dfrac{18}{23}\left(\dfrac{17}{13}-\dfrac{4}{13}\right)+\dfrac{5}{23}=\dfrac{18}{23}+\dfrac{5}{23}=\dfrac{23}{23}=1\)