Question

Express $\frac{-192}{108}$ as a rational number with numerator:
(i) 64
(ii) −16
(iii) 32
(iv) −48

Answer 1

Rational number with numerator:

$$\begin{gathered} \left(\mathrm{i}\right)64\mathrm{as}\mathrm{numerator}:\frac{-192/-3}{108/-3}=\frac{64}{-36}(\mathrm{Dividing}\mathrm{the}\mathrm{numerator}\mathrm{and}\mathrm{denomintor}\mathrm{by}-3) \\ \left(\mathrm{ii}\right)-16\mathrm{as}\mathrm{numerator}:\frac{-192/12}{108/12}=\frac{-16}{9}(\mathrm{Dividing}\mathrm{the}\mathrm{numerator}\mathrm{and}\mathrm{denomintor}\mathrm{by}12) \\ \left(\mathrm{iii}\right)32\mathrm{as}\mathrm{numerator}:\frac{-192/-6}{108/-6}=\frac{32}{-18}(\mathrm{Dividing}\mathrm{the}\mathrm{numerator}\mathrm{and}\mathrm{denomintor}\mathrm{by}-6) \\ \left(\mathrm{iv}\right)-48\mathrm{as}\mathrm{numerator}:\frac{-192/4}{108/4}=\frac{-48}{27}(\mathrm{Dividing}\mathrm{the}\mathrm{numerator}\mathrm{and}\mathrm{denomintor}\mathrm{by}4) \end{gathered}$$