Question

Using the appropriate properties of operations of rational numbers, evaluate the following:
a) 8/9*4/5+5/6 - 9/5*8/9
b) 2/5*(-3/7) - 1/6*3/2 + 1/14*2/5
c) (-4/5)*3/7*15/16*(-14/9)

Answer 1

Dear student
(a) part
$$\begin{gathered} \left(\frac{8}{9}\times \frac{4}{5}\right)+\frac{5}{6}+\left(\frac{-9}{5}\times \frac{8}{9}\right) \\ \Rightarrow \frac{8}{9}\left(\frac{4}{5}-\frac{9}{5}\right)+\frac{5}{6} \\ \Rightarrow \frac{8}{9}\left(\frac{-5}{5}\right)+\frac{5}{6} \\ \Rightarrow \frac{-8}{9}+\frac{5}{6} \\ \Rightarrow \frac{-1}{18} \end{gathered}$$
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