Question

\(\dfrac{6}{7}\) x \(\dfrac{10}{9}\) + \(\dfrac{1}{7}\) x \(\dfrac{10}{9}\) - \(\dfrac{8}{9}\)

 

Answer 1

=10/9x(6/7+1/7)-8/9

=10/9x1-8/9

=10/9-8/9

=2/9

Answer 2

=10/9x(6/7+1/7)-8/9

=10/9x1-8/9

=10/9-8/9

=2/9

Answer 3

\(\dfrac{6}{7}\times\dfrac{10}{9}+\dfrac{1}{7}\times\dfrac{10}{9}-\dfrac{8}{9}\)

\(=\dfrac{10}{9}\times\left(\dfrac{6}{7}+\dfrac{1}{7}\right)-\dfrac{8}{9}\)

\(=\dfrac{10}{9}\times\dfrac{7}{7}-\dfrac{8}{9}\)

\(=\dfrac{10}{9}\times1-\dfrac{8}{9}\)

\(=\dfrac{10}{9}-\dfrac{8}{9}=\dfrac{2}{9}\)