Question

Convert 8.132132132... to a rational expression in the form of a/b where b is not equal to 0

Answer 1

Separate the 8 from the rest: 8 + .132132132...

.132132132... is a geometric series whose first term is 0.132 and whose common ratio is 0.001.
0.132
Thus, 8 + .132132132... = 8 + ----------- = 8 + 44/333 = 8 44/333
1-0.001

Check this by division. Does 8 plus 44 divided by 333 equal 8.132132...?

YES

Answer 2

8 132/999

Explanation

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