Question

Compare the pair of rational numbers 3/-4 , -1/2 LCM of 2,4 is
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Answer 1

Step-by-step explanation:

Given rational numbers are 3/-4 and -1/2

3/-4= -3/4

LCM of the denominators 2 and 4=4

-3/4=(-3/4)×(1/1)=-3/4

-1/2=(-1/2)×(2/2)=-2/4

-2/4>-3/4

-1/2>-3/4

-1/2 is greater than 3/-4

Answer 2

Step-by-step explanation:

$\frac{3}{ - 4} , \: \: \frac{ - 1}{2}$

First, write the rational numbers with positive denominator so it becomes -

$\frac{ - 3}{4} , \: \: \frac{ - 1}{2}$

Find the LCM of denominators ( LCM of 4, 2 = 4)

$\frac{ - 3}{4} = \frac{ - 3 \times 1}{4 \times 1} = \frac{ - 3}{4} \\ \frac{ - 1}{2} = \frac{ - 1 \times 2}{2 \times 2} = \frac{ - 2}{4}$

Comparing the numerators of these rational numbers, we get

$- 3< - 2 \\ \\∴ \: \frac{ 3}{-4} < \frac{ - 1}{2}$