4 Express 4756789 as a fraction using the technique of Exer

(4) Express 47.56789 as a fraction using the technique of Exer- cise 2

Solution

4.

x=47.56789789789789789789.....

100x=4756.789789789.....

100000x=4756789.789789789.....

Since both 100x and 100000x have the same fractional part we can subtract and get:

100000x-100x=4756789-4756

99900=4752033

This gives:

x=1584011/33300