Question

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

(i) $\frac{5}{6}\mathrm{or}0$
(ii) $\frac{-3}{5}\mathrm{or}0$
(iii) $\frac{5}{8}\mathrm{or}\frac{3}{8}$
(iv) $\frac{7}{9}\mathrm{or}\frac{-5}{9}$
(v) $\frac{-6}{11}\mathrm{or}\frac{5}{-11}$
(vi) $\frac{-15}{4}\mathrm{or}\frac{-17}{4}$

Answer 1

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