Question

a. 5/⁹ : 2/³ = 

b. 3/² - 3/⁸ =

c. 4/³ - 1/³ x 5/² =

Answer 1

a) \(\dfrac{5}{9}:\dfrac{2}{3}=\dfrac{5}{9}\times\dfrac{3}{2}=\dfrac{15}{18}=\dfrac{5}{6}\)

b) \(\dfrac{3}{2}-\dfrac{3}{8}=\dfrac{24}{16}-\dfrac{6}{16}=\dfrac{18}{16}=\dfrac{9}{8}\)

c) \(\dfrac{4}{3}-\dfrac{1}{3}\times\dfrac{5}{2}=\dfrac{4}{3}-\dfrac{5}{6}=\dfrac{8}{6}-\dfrac{5}{6}=\dfrac{3}{6}=\dfrac{1}{2}\)

Answer 2

a) \(\dfrac{5}{9}\div\dfrac{2}{3}=\dfrac{5}{9}\times\dfrac{3}{2}=\dfrac{15}{27}=\dfrac{5}{9}\)

b) \(\dfrac{3}{2}-\dfrac{3}{8}=\dfrac{24}{16}-\dfrac{6}{16}=\dfrac{18}{16}=\dfrac{9}{8}\)

c) \(\dfrac{4}{3}-\dfrac{1}{3}\times\dfrac{5}{2}=1\times\dfrac{5}{2}=\dfrac{5}{2}\)