Question

Convert each of the following into a mixed fraction:

(i) $\frac{28}{9}$
(ii) $\frac{226}{15}$
(iii) $\frac{145}{9}$
(iv) $\frac{128}{5}$

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)\frac{28}{9} \\ \mathrm{Quotient}=3,\mathrm{Remainder}=1,\mathrm{Denominator}=9 \\ \Rightarrow \frac{28}{9}=3\frac{1}{9} \\ \left(\mathrm{ii}\right)\frac{226}{15} \\ \mathrm{Quotient}=15,\mathrm{Remainder}=1,\mathrm{Denominator}=15 \\ \Rightarrow \frac{226}{15}=15\frac{1}{15} \\ \left(\mathrm{iii}\right)\frac{145}{9} \\ \mathrm{Quotient}=16,\mathrm{Remainder}=1,\mathrm{Denominator}=9 \\ \Rightarrow \frac{145}{9}=16\frac{1}{9} \\ \left(\mathrm{iv}\right)\frac{128}{5} \\ \mathrm{Quotient}=25,\mathrm{Remainder}=3,\mathrm{Denominator}=5 \\ \Rightarrow \frac{128}{5}=25\frac{3}{5} \end{gathered}$$