SOLUTION: what is 5/6 plus 2/9 as a fraction in simpplest form

 + 

The denominators are 6 and 9

Think through the multiplication facts for both those numbers
that you learned in third or fourth grade:

 1×6 = 6        1×9 = 9
 2×6 = 12       2×9 = 18
 3×6 = 18       3×9 = 27
 4×6 = 24       4×9 = 36
 5×6 = 30       5×9 = 45
 6×6 = 36       6×9 = 54
 7×6 = 42       7×9 = 63
 8×6 = 48       8×9 = 72
 9×6 = 54       9×9 = 81
10×6 = 60      10×9 = 90
11×6 = 66      11×9 = 99
12×6 = 72      12×9 = 108

Find the smallest product that is common to both columns:

That number is 18, as you can see in red below:

 1×6 = 6        1×9 = 9
 2×6 = 12       2×9 = 18
 3×6 = 18       3×9 = 27
 4×6 = 24       4×9 = 36
 5×6 = 30       5×9 = 45
 6×6 = 36       6×9 = 54
 7×6 = 42       7×9 = 63
 8×6 = 48       8×9 = 72
 9×6 = 54       9×9 = 81
10×6 = 60      10×9 = 90
11×6 = 66      11×9 = 99
12×6 = 72      12×9 = 108

Therefore 18 is the least common denominator:

The denominator 6 needs to be multiplied by 3 to become 18
The denominator 9 needs to be multiplied by 2 to become 18

So we multiply the first fraction by  and the 
second fraction by .  Notice that both those fractions 
are equal to 1, so there is no change in the value.

× + ×

Multiply numerators and denominators:

 + 

Now that both fractions have the same denominator, you just 
add the two numerators and place the sum over the denominator
18:



That is an improper fraction so we divide the denominator into
the numerator:
    1
18)19
   18
    1

Then we write the quotient,1, then the remainder 1, over the divisor, 18



Edwin