Question

a, 8/9 - 3/4

b, 2/3 + 3/4 

c,( 1/2 - 2/5) × 5/6

d, ( 4/3 - 1/6 ) : 7/3

Answer 1

a) \(\dfrac{8}{9}-\dfrac{3}{4}=\dfrac{32}{36}-\dfrac{27}{36}=\dfrac{5}{36}\)

b) \(\dfrac{2}{3}+\dfrac{3}{4}=\dfrac{8}{12}+\dfrac{9}{12}=\dfrac{17}{12}\)

c) \(\left(\dfrac{1}{2}-\dfrac{2}{5}\right)\times\dfrac{5}{6}=\dfrac{1}{10}\times\dfrac{5}{6}=\dfrac{5}{60}=\dfrac{1}{12}\)

d) \(\left(\dfrac{4}{3}-\dfrac{1}{6}\right):\dfrac{7}{3}=\dfrac{7}{6}:\dfrac{7}{3}=\dfrac{7}{6}\times\dfrac{3}{7}=\dfrac{1}{2}\)

Answer 2

a) \(\dfrac{8}{9}-\dfrac{3}{4}=\dfrac{32}{36}-\dfrac{27}{36}=\dfrac{5}{36}\)

b) \(\dfrac{2}{3}+\dfrac{3}{4}=\dfrac{8}{12}+\dfrac{9}{12}=\dfrac{17}{12}\)

c) \(\left(\dfrac{1}{2}-\dfrac{2}{5}\right)\times\dfrac{5}{6}=\left(\dfrac{5}{10}-\dfrac{4}{10}\right)\times\dfrac{5}{6}=\dfrac{1}{10}\times\dfrac{5}{6}=\dfrac{1}{12}\)

d) \(\left(\dfrac{4}{3}-\dfrac{1}{6}\right):\dfrac{7}{3}=\left(\dfrac{8}{6}-\dfrac{1}{6}\right):\dfrac{7}{3}=\dfrac{7}{6}\times\dfrac{3}{7}=\dfrac{1}{2}\)

Answer 3

=1/2