Precalculus assistance

Question

The angle between 0 and 2pi in radians that is coterminal with the angle 44/9pi in radians is

Answer 1

Since 44π/9 is greater than 2π, we will need to subtract 2π to find the coterminal angle. To subtract, find that the common denominator is 9, so 2π is equivalent to 18π/9

44π/9-18π/9 = 26π/9 This is still too big, so subtract another 2π

26π/9-18π/9 = 8π/9 This is between 0 and 2π