Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

$\left(\frac{-5}{16}+\frac{7}{12}\right)=?$

(a) $-\frac{7}{48}$

(b) $\frac{1}{24}$

(c) $\frac{13}{48}$

(d) $\frac{1}{3}$

 

Solution:

(c) $\frac{13}{48}$

The denominators of the given rational numbers are 16 and 12 , respectively.

LCM of 16 and 12 is $(4 \times 4 \times 3)$, that is, 48

Now, we have:

$\left(\frac{-5}{16}+\frac{7}{12}\right)=\frac{3 \times(-5)+4 \times 7}{48}$

$=\frac{(-15)+28}{48}$

$=\frac{13}{48}$

 

 

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