Question 1116919
Express the following in rational form
a) 0.3434343434343434343434...
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x = 0.3434343434343434343434...
100x=34.34343434343434343434...
- x = 0.3434343434343434343434...
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99x= 34
x = 34/99
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b)2.457777777777777777777777...
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x = 2.457777777777777777777777... = 2.45 + 0.00777777777777...
y = 0.00777777777777...
10y =0.0777777777777...
-y = 0.00777777777777...
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9y = 0.07
y = 0.07/9 = 7/900
2.457777777777777777777777... = 2.45 + 7/900 = 2 + 405/900 + 7/900 = 2212/900
= 553/225