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The easiest way is to find the 'common denominator' then add the numerators:

1. Finding a common denominatorThe two denominators are 7 and 9, and we need to find the first number that is a multiple of both. Multiplying the two always gives you one (but might not be the lowest number that does), in this case 7*9=63 . 2. Convert both fractions to use the new denominatorTo convert we multiply both sides of each fraction until we get to the new denominator:
  • 3/7 : multiply each part by 9 to get 27/63
  • 5/9 : multiply each part by 7 to get 35/63
3. Add the two fractions togetherBecause the two denominators are the same, we can just add 27+35 = 62 .

The answer is 62/63.

This fraction cannot be simplified, but in other cases like this you should to get a simpler answer.

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