SOLUTION: Give the sum p+q where p/q is the reduced fraction represented by repeating decimal 1.36(bar over 36). answers: a. 13 b. 19 c. 26 d. 28

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Question 91279: Give the sum p+q where p/q is the reduced fraction represented by repeating decimal 1.36(bar over 36).
answers:
a. 13
b. 19
c. 26
d. 28
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, convert 1.3636... to its fractional equivalent.
n = 1.3636... Multiply by 100.
100n = 136.3636... Subtract n from both sides.
100n-n = 136.3636 - 1.3636
99n = 135 Divide both sides by 99
n = 135/99 Reduce the fraction.
n = 15/11 Substitute n = 1.3636...
1.3636... = 15/11 this is the p/q where p = 15 and q = 11. Add p+q
p+q = 15+11 = 26
Answer is 26.