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Q.

Add the following rational numbers: $\frac{- 5}{16}$ and $\frac{7}{24}$

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a

\frac{4}{9}

b

\frac{- 1}{49}

c

\frac{- 1}{48}

d

\frac{48}{9}

answer is C.

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Detailed Solution

Given expression,

\Rightarrow \frac{- 5}{16} + \frac{7}{24}

The L.C.M of denominators 16 and 24 is 48.
Therefore, we will express

\frac{- 5}{16}

and

\frac{7}{24}

in the form of in which it takes the denominator is 48.

\Rightarrow \frac{- 5 \times 3}{16 \times 3} + \frac{7 \times 2}{24 \times 2}

\Rightarrow \frac{- 15 + 14}{48}

\Rightarrow - \frac{1}{48}

Therefore, the required number is

- \frac{1}{48} .

Correct option is 3.

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