Question:
Tick (✓) the correct answer
$\left(\frac{7}{-26}+\frac{16}{39}\right)=?$
(a) $\frac{11}{78}$
(b) $\frac{-11}{78}$
(c) $\frac{11}{39}$
(d) $\frac{-11}{39}$
Solution:
$\frac{7}{-26}=\frac{-7}{26}$
Now, we have:
$\left(\frac{7}{-26}+\frac{16}{39}\right)=\left(\frac{-7}{26}+\frac{16}{39}\right)$
LCM of 26 and 39 is 1014 , that is, $(29 \times 1 \times 36)$.
(a) $\frac{11}{78}$
$\left(\frac{-7}{26}+\frac{16}{39}\right)=\frac{39 \times(-7)+26 \times 16}{1014}$
$=\frac{(-273)+416}{1014}$
$=\frac{143}{1014}$
$=\frac{11}{78}$