Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers1 Mark
Question
Which is greater in $\frac{-3}{4}, \frac{2}{-3}$
✓
Answer
To find the greater rational number we need to have a common denominator, so the $LCM$ of $4$ and $3$ is $12.$
Therefore,$\frac{-3}{4}=\frac{-3 \times 3}{4 \times 3}=\frac{-9}{12}$
$\frac{2}{-3}=\frac{2 \times 4}{-3 \times 4}=\frac{8}{-12}=\frac{-8}{12}. . . [LCM (4,3) = 12]$
$\because$$\frac{-8}{12}>\frac{-9}{12}$
$\therefore$ $\frac{2}{-3}>\frac{-3}{4}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.