Question

As an improper fraction simplified

Answer 1

Answer:

For this question, you can make the denominators the same to get the answer.

LCM of 7 and 9 = 63

$\frac{6}{7} + \frac{4}{9} = \frac{54}{63} + \frac{28}{63}$

         = $\frac{82}{63}$

         = 1$\frac{19}{63}$

Answer 2

Answer:

  82/63

Step-by-step explanation:

The sum can be found using the formula ...

  $\dfrac{a}{b}+\dfrac{c}{d} =\dfrac{ad+bc}{bd}$

For the given fractions, the sum is ...

  $\dfrac{6}{7}+\dfrac{4}{9} =\dfrac{6\cdot9+7\cdot4}{7\cdot9}=\dfrac{54+28}{63}=\boxed{\dfrac{82}{63}}$

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Additional comment

When the denominators have no common factor, the least common denominator is their product, as here.