Answer :

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]


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