$\frac{- 3}{4}$ is smaller than $- 2$ . State whether the statement is true (T) or false (F).

True

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False

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Solution

The correct option is B False
Let us express the given rational numbers with a common denominator.
$\frac{- 3}{4}$ and $- 2$ .
On expressing each of the given rational numbers with $4$ as the common denominator we obtain,
$\frac{- 3}{4} = \frac{- 3 \times 1}{4 \times 1} = \frac{- 3}{4}$
$\frac{- 2}{1} = \frac{- 2 \times 4}{1 \times 4} = \frac{- 8}{4}$
$\frac{- 3}{4} > \frac{- 8}{4}$
Hence, $\frac{- 3}{4}$ is greater than $- 2$
Hence the given statement is false

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