Question
Fill in the boxes with the correct symbol >, < or =. $\frac{5}{6}\Box\frac{8}{4}.$
✓
Answer
$\frac{5}{6}<\frac{8}{4}.$ Solution:Given rational numbers are $\frac{5}{6}$ and $\frac{8}{4}.$
We convert the rational numbers with the same denominators. $\therefore\frac{5\times2}{6\times2}=\frac{10}{12}$ and $\frac{8\times3}{4\times3}=\frac{24}{12}$ i.e. $24>10\Rightarrow\frac{24}{12}>\frac{10}{12}$ Hence, $\frac{5}{6}<\frac{8}{4}.$
We convert the rational numbers with the same denominators. $\therefore\frac{5\times2}{6\times2}=\frac{10}{12}$ and $\frac{8\times3}{4\times3}=\frac{24}{12}$ i.e. $24>10\Rightarrow\frac{24}{12}>\frac{10}{12}$ Hence, $\frac{5}{6}<\frac{8}{4}.$
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