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Rational Numbers

Which of the ...

Question

Which of the two rational numbers is greater in each of the following pairs ?
$\frac{- 1}{2}, 0$

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Solution

$0$ can be written as $\frac{0}{1} .$
First of all we will make their denominators equal by taking their LCM
LCM $(1, 2) = 2 .$
$\frac{- 1}{2} = \frac{- 1}{2} \frac{0}{1} = \frac{0 \times 2}{1 \times 2} = \frac{0}{2} .$
When denominators of two rational numbers are equal, we only compare the numerators.
Here , $0 > - 1 .$
So , $\frac{0}{2} > \frac{- 1}{2} .$
Hence , $0 > \frac{- 1}{2} .$

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Which of the two rational numbers is greater in the given pair ?

(i) $\frac{3}{8}$ or 0 (ii) $\frac{- 2}{9}$ or 0 (iii) $\frac{- 3}{4}$ or $\frac{1}{4}$

(iv) $\frac{- 5}{7}$ or $\frac{- 4}{7}$ (v) $\frac{2}{3}$ or $\frac{3}{4}$ (vi) $\frac{- 1}{2}$ or -1

Question 6 (iii)

Which of the following pairs represent the same rational numbers:
$\frac{- 2}{- 3} a n d \frac{2}{3}$

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