2/3 + r = - 4/9

Since r = r/1 we have:

2/3 + r/1 = - 4/9

The Least Common Denominator (LCD or in the Agebrator is LCM, Least Common Measure ) for 3 and 1 is 3 so we have:

LCM(3, 1) = 3

2/3 + 3r/3 = - 4/9

(2 + 3r)/3 = - 4/9 multiply both sides with the least common denominator (LCD or in the Agebrator is LCM, Least Common Measure ) for 3 and 9, that is 9:

LCM(3, 9) = 9

(9(2 + 3r))/3 = (-4/9)*9

(9/3)(2 + 3r) = -4

3(2 + 3r) = -4

3*2 + 3*3r = - 4

6 + 9r = - 4

9r = - 4 - 6

9r = -10 divide both sides by 9

r = -10/9