Question

Write 2.3181818 as a mixed number

Answer 1

We convert 2.3181818 to fraction as follows:

Let x = 2.3181818 . . . . . (1)

as can be seen, the repeating digits are 18

Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)

Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)

Subtract equation (3) from equation (2) to get
990x = 2,295

Thus,
$x= \frac{2,295}{990} =2 \frac{7}{22}$