Answer:
[tex]\frac{29}{14}[/tex]
Step-by-step explanation:
Before adding the fractions we require them to have a common denominator.
multiply the numerator/denominator of the first faction by 2 and the numerator/denominator of the second fraction by 7, that is
- [tex]\frac{3(2)}{7(2)}[/tex] + [tex]\frac{5(7)}{2(7)}[/tex]
= - [tex]\frac{6}{14}[/tex] + [tex]\frac{35}{14}[/tex]
Now add the numerators leaving the denominator
= [tex]\frac{-6+35}{14}[/tex] = [tex]\frac{29}{14}[/tex] = 2 [tex]\frac{1}{14}[/tex]
