Question

As an improper fraction simplified

Answer 1

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

LCM of 7 and 9 = 63

`(6)/(7) + (4)/(9) = (54)/(63) + (28)/(63) \\`

=
`(82)/(63)`

= 1
`(19)/(63)`

Answer 2

82/63

Explanation:

The sum can be found using the formula ...

`(a)/(b)+(c)/(d) =(ad+bc)/(bd)`

For the given fractions, the sum is ...

`(6)/(7)+(4)/(9) =(6\cdot9+7\cdot4)/(7\cdot9)=(54+28)/(63)=\boxed{(82)/(63)}`

_____

Additional comment

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