SOLUTION: If the repeating decimal .36 is expressed as a rational number a/b with a and b integers in reduced form, then a + b is (1) 15 (2) 16 (3) 17 (4) 18 (5) None of the above

Question 255594: If the repeating decimal .36 is expressed as a rational number a/b with a and b integers in reduced form, then a + b is
(1) 15 (2) 16 (3) 17 (4) 18 (5) None of the above

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
repeating decimal is .3636363636363636363636363636...

that's a little more than 1 third (.333333333333333)

1/3 = .33333333

2/6 = .33333333
3/6 = .5 (too high).
2/5 = .4 (too high).

4/12 = .3333333
5/12 = .41666666666 (too high)
4/11 = .363636363636363 (right on) ************************

4 + 11 = 15
answer is selection (1).

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