Question

a7/-13 - (13/15 + 7/13) 

b 6/11. 10/17 + 5/11 + 6/11 - 7/17 

 

Answer 1

a) \(\dfrac{7}{-13}-\left(\dfrac{13}{15}+\dfrac{7}{13}\right)\)

\(=\dfrac{7}{-13}-\dfrac{13}{15}-\dfrac{7}{13}\)

\(=\dfrac{-7-7}{13}-\dfrac{13}{15}\)

\(=\dfrac{-14}{13}-\dfrac{13}{15}\)

\(=\dfrac{-379}{195}\) 

b) \(\dfrac{6}{11}\cdot\dfrac{10}{17}+\dfrac{5}{11}+\dfrac{6}{11}-\dfrac{7}{17}\)

\(=\dfrac{6}{11}\cdot\dfrac{10}{17}+\dfrac{11}{11}-\dfrac{7}{17}\)

\(=\dfrac{6}{11}\cdot\dfrac{10}{17}+\left(1-\dfrac{7}{17}\right)\)

\(=\dfrac{6}{11}\cdot\dfrac{10}{17}+\dfrac{10}{17}\)

\(=\dfrac{10}{17}\cdot\left(\dfrac{6}{11}+1\right)\)

\(=\dfrac{10}{17}\cdot\dfrac{17}{11}\)

\(=\dfrac{10}{11}\)