Question

Find the rational number whose decimal expression is 0.33444444..

Answer 1

Let X = 0.33444444

Multiply both sides by 100,

100 X = 33.44444

100 X = 33.1100 + 0.3344

100 X = 33.1100 + X

100 X - X = 33.1100

99 X = 33.1100

X = 33.11/99

X = 3311/9900.