
Example: Convert 0.537 into a
rational number form. Solution: Let x = 0.537 .......I There are one digit in the nonrecurring part and two digits in the recurring part of the decimal. Hence multiplying both sides of equation I by 10^{1+2} = 10^{3} = 1000. We get, 1000x = 537.37.....II There are one digit in the nonrecurring part of the decimal. Hence multiplying both sides of equation I by 10 we get, 10x = 5.3737.....III Subtracting III from II, we get 990x = 532 x = 532/990 x = 266/495 Directions: Convert the given mixed recurring decimal into rational number form. Show your work. Also write at least five examples of your own. 