-3/4 is smaller than

Question:

$-3 / 4$ is smaller than $-2$.

Solution:

False.

Express each of the given rational numbers with 4 as the common denominator. Now,

$-3 / 4=[(-3 \times 1) /(4 \times 1)]=(-3 / 4)$

$-2 / 1=[(-2 \times 4) /(1 \times 4)]=(-8 / 4)$

Then,

$-3 / 4>-8 / 4$

Hence,

$-3 / 4>-2$

So, $-3 / 4$ is greater than $-2$.

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