Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
Question
$\frac{5}{6}$ lies between $\frac{2}{3}$ and $1.$
✓
Answer
First, we convert the given rational numbers with denominator as $6,$
we get $\frac{2}{3}=\frac{2}{3}\times\frac{2}{2}=\frac{4}{6}$
$1=1\times\frac{6}{6}=\frac{6}{6}$
$\because\frac{4}{6}<\frac{5}{6}<\frac{6}{6}$
$\therefore\frac{2}{3}<\frac{5}{6}<1$
Therefore, $\frac{5}{6}$ lies between $\frac{2}{3}$ and $1.$ Note: we kno9w that, if $a$ and $b$ are two rational number,
then $\frac{\text{a}+\text{b}}{2}$ is rational number between $a$ and $b$
such that $\text{a}<\frac{\text{a}+\text{b}}{2}<\text{b}.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.