Solution 1.1:5a

From Förberedande kurs i matematik 1

It is easier to see the mutual order of the numbers if we write them as decimals.

Because we know that 15=02 and 13=0333, we obtain

\displaystyle \begin{align} & \frac{3}{5}=3\centerdot \frac{3}{5}=3.02=0.6 \\ & \\ & \frac{5}{3}=\frac{3+2}{3}=1+\frac{2}{3}=1.666... \\ & \\ & \frac{7}{3}=\frac{6+1}{3}=2+\frac{1}{3}=2.333... \\ \end{align}