Question

Write the repeating decimal 0.3181818 as a simplified fraction.

I need to show work but I'm not sure how

Answer 1

let the decimal = x
1000x = 318.181818... (1)
10x = 3.18181818.... (2)

now use equation (1) - Equation 92)

990x = 315

x = 315/990

simplify

x = 7/22

Answer 2

oops, i did'nt see it as a repeating 1818181818188181818188181818181

Answer 3

the subtraction process eliminates the recurring decimal