Prove the following

Question:

$5 / 10$ lies between $1 / 2$ and 1 .

Solution:

False.

Express each of the given rational numbers with 10 as the common denominator.

Now.

$1 / 2=[(1 \times 5) /(2 \times 5)]=(5 / 10)$

$(1)=[(1 \times 10) /(1 \times 10)]=(10 / 10)$

Then,

$1 / 2$ is equal to $5 / 10$

So, $5 / 6$ does not lies between $1 / 2$ and 1 .

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