Question

Which of the two rational numbers is greater in each of the following pairs?

(i)
(ii)
(iii)
(iv)
(v)
(vi)

Answer 1

$\begin{array}{l}\\ \left(\text{i}\right)\frac{5}{6}.\mathrm{This}\mathrm{is}\mathrm{because}0\text{can be written as}\frac{0}{6}\text{and}\frac{0}{6}<\frac{5}{6}.\\ \left(\text{ii}\right)\frac{-3}{5}<0.\mathrm{This}\mathrm{is}\mathrm{because}0\text{can be written as}\frac{0}{5}\text{and}-3<0.\\ \left(\text{iii}\right)\frac{5}{8}>\frac{3}{8}.\mathrm{This}\mathrm{is}\mathrm{because}\text{5}>\text{3}.\\ \left(\text{iv}\right)\frac{7}{9}>\frac{5}{9}.\mathrm{This}\mathrm{is}\mathrm{because}\text{7}>\text{5.}\\ \left(\text{v}\right)\frac{-6}{11}<\frac{-5}{11}.\mathrm{This}\mathrm{is}\mathrm{because}-\text{6}<-\text{5.}\\ \left(\text{vi}\right)\frac{-15}{4}>\frac{-17}{4},-\text{15}>-\text{17}\end{array}$