Gujarat BoardEnglish MediumSTD 7MATHSRational Numbers1 Mark
Question
Which is greater in $-3 \frac{2}{7},-3 \frac{4}{5}$
✓
Answer
To find the greater rational number we need to have a common denominator, so the $LCM$ of $7$and $5$is $35$
$-3 \frac{2}{7}=-\frac{23}{7}=\frac{-23 \times 5}{7 \times 5}=\frac{-115}{35}. . . .[LCM (7, 5) = 35]$
$-3 \frac{4}{5}=\frac{-19}{5}=\frac{-19 \times 7}{5 \times 7}=\frac{-133}{35}$
$\because$$\frac{-115}{35}>\frac{-133}{35}$
$\therefore -3 \frac{2}{7}>-3 \frac{4}{5}$
Or
$-23\over 7$and$-19\over 5$
Cross multiplying the numerators we have
$-23 \times 5$ and $-19 \times 7$
$-115$ and $-133$
$-115 > -133$
$\therefore -3 \frac{2}{7}>-3 \frac{4}{5}$
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