
Example: Convert 9.33586 into a
rational number form. Solution:Let x = 9.33586.......I There are two digit in the nonrecurring part and three digits in the recurring part of the decimal. Hence multiplying both sides of equation I by 10^{2+3} = 10^{5} = 100000. We get, 100000x = 933586.586.....II There are two digit in the nonrecurring part of the decimal. Hence multiplying both sides of equation I by 100 we get, 100x = 933.586.....III Subtract II from III, we get 99900x = 932653 x = 932653/99900 Directions: Using the above method, convert the given mixed recurring decimal into rational number form. Also write at least five examples of your own. 