Question

verify associative property of addition for 3/4,-4/3,5/6

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{a}+\left(\mathrm{b}+\mathrm{c}\right)=\left(\mathrm{a}+\mathrm{b}\right)+\mathrm{c} \\ \mathrm{so}\mathrm{here}\mathrm{a}=\frac{3}{4},\mathrm{b}=-\frac{4}{3}\mathrm{and}\mathrm{c}=\frac{5}{6} \\ \frac{3}{4}+\left(-\frac{4}{3}+\frac{5}{6}\right)=\left(\frac{3}{4}-\frac{4}{3}\right)+\frac{5}{6} \\ \frac{3}{4}+\left(\frac{-8+5}{6}\right)=\left(\frac{9-16}{12}\right)+\frac{5}{6} \\ \frac{3}{4}-\frac{3}{6}=\frac{-7}{12}+\frac{5}{6} \\ \frac{9-6}{12}=\frac{-7+10}{12} \\ \frac{3}{12}=\frac{3}{12} \\ \mathrm{hence}\mathrm{true}\mathrm{and}\mathrm{verified} \end{gathered}$$