SOLUTION: Express the following in rational form
a) 0.3434343434343434343434...
b)2.457777777777777777777777...
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Question 1116919: Express the following in rational form
a) 0.3434343434343434343434...
b)2.457777777777777777777777...
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Express the following in rational form
a) 0.3434343434343434343434...
---
x = 0.3434343434343434343434...
100x=34.34343434343434343434...
- x = 0.3434343434343434343434...
---------------------------------------
99x= 34
x = 34/99
----------------
b)2.457777777777777777777777...
---
x = 2.457777777777777777777777... = 2.45 + 0.00777777777777...
y = 0.00777777777777...
10y =0.0777777777777...
-y = 0.00777777777777...
---------------------------
9y = 0.07
y = 0.07/9 = 7/900
2.457777777777777777777777... = 2.45 + 7/900 = 2 + 405/900 + 7/900 = 2212/900
= 553/225
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