To find three equivalent fraction for 6/9, we can multiple 6/9 by the equivalent of 1/1. For example:
6/9 x 1/1 = 6/9
since 1/1 = 1 and multiplying by 1 does not change the value.
If we multiply:
6/9 x 2/2 = 12/18
Here again, since 2/2 = 1 we aren't changing the value, just the way it is written. Both 6/9 and 12/18 are equal to 0.6 (repeating).
We could also divide both 6 and 9 by 3 to simplify 6/9. That would give us 2/3, another equivalent fraction.
We could also multiply by 3/3, 4/4, 5/5 and so on to find more fractions that are equal to 6/9. As long as we are multiplying by the equivalent of 1, we'll get a fraction that is the same as 6/9.