Question

Select those rational numbers which can be written as a rational number with denominator 4:

$\frac{7}{8},\frac{64}{16},\frac{36}{-12},\frac{-16}{17},\frac{5}{-4},\frac{140}{28}$

Answer 1

Given rational numbers that can be written as a rational number with denominator 4 are:

$$\begin{gathered} \frac{7}{8}(\mathrm{On}\mathrm{dividing}\mathrm{by}2)=\frac{3.5}{4} \\ \frac{64}{16}(\mathrm{On}\mathrm{dividing}\mathrm{by}4)=\frac{16}{4} \\ \frac{36}{-12}(\mathrm{On}\mathrm{dividing}\mathrm{by}3)=\frac{12}{-4}=\frac{-12}{4} \\ \frac{-16}{17}\mathrm{can}\text{'}\mathrm{t}\mathrm{be}\mathrm{expressed}\mathrm{with}\mathrm{a}\mathrm{denominator}4. \\ \frac{5}{-4}(\mathrm{On}\mathrm{multiplying}\mathrm{by}-1)=\frac{-5}{4} \\ \frac{140}{28}(\mathrm{On}\mathrm{dividing}\mathrm{by}7)=\frac{20}{4} \end{gathered}$$
122 (On multiplying by 6) = 613223 (On multiplying by 3) = 6934 (On multiplying by 2) = 68−67 (On multiplying by −1) = 6−7