
Example: Convert 0.5637 into a
rational number form. Solution: Let x = 0.5637 .......I There are two digit in the nonrecurring part and two digits in the recurring part of the decimal. Hence multiplying both sides equation I by 10^{2+2} = 10^{4} = 10000. We get, 10000x = 5637.37.....II There are two digit in the nonrecurring part of the decimal. Hence multiplying both sides of equation I by 100 we get, 100x = 56.3737.....III Subtracting III from II, we get 9900x = 5581 x = 5581/9900 Directions: Using the above method, convert the given mixed recurring decimal into rational number form. Also write at least five examples of your own. 