Question

Fill in the boxes with the correct symbol 0 , > , < or =.
$\frac{5}{8}\square \frac{8}{4}$

Answer 1

We convert the rational numbers with the same denominators.
$\therefore \frac{5\times 2}{6\times 2}=\frac{10}{10}$ and $\frac{8\times 3}{4\times 3}=\frac{24}{12}$
i.e. $24>10\Rightarrow \frac{24}{12}>\frac{10}{12}$
Hence, $\frac{5}{6}<\frac{8}{4}$