Question

a) 6/7 : ( 2/5 . 6/7)

b) 6/7 + 5/7 : 5 - 8/9

c) 6/7 + 5/8 . 1/5 - 3/16 . 4

d) -1/6 + 2/3 . -3/4 + 4/5

Answer 1

a: \(\dfrac{6}{7}:\left(\dfrac{2}{5}\cdot\dfrac{6}{7}\right)\)

\(=\dfrac{6}{7}:\dfrac{12}{35}\)

\(=\dfrac{6}{7}\cdot\dfrac{35}{12}=\dfrac{6}{12}\cdot\dfrac{35}{7}=\dfrac{5}{2}\)

b: \(\dfrac{6}{7}+\dfrac{5}{7}:5-\dfrac{8}{9}\)

\(=\dfrac{6}{7}+\dfrac{1}{7}-\dfrac{8}{9}\)

\(=1-\dfrac{8}{9}=\dfrac{1}{9}\)

c: \(\dfrac{6}{7}+\dfrac{5}{8}\cdot\dfrac{1}{5}-\dfrac{3}{16}\cdot4\)

\(=\dfrac{6}{7}+\dfrac{1}{8}-\dfrac{3}{4}\)

\(=\dfrac{48+7-42}{56}=\dfrac{13}{56}\)

d: \(\dfrac{-1}{6}+\dfrac{2}{3}\cdot\dfrac{-3}{4}+\dfrac{4}{5}\)

\(=-\dfrac{1}{6}-\dfrac{1}{2}+\dfrac{4}{5}\)

\(=\dfrac{-5-15+24}{30}=\dfrac{4}{30}=\dfrac{2}{15}\)