The value of 0.17̅ + 0.14̅ − 0.12̅ is:
Solution:
1) Convert 0.17̅
Here a = 1, b = 7
Value = (9×1 + 7) / 90 = (9 + 7) / 90 = 16 / 90 = 8 / 45
2) Convert 0.14̅
a = 1, b = 4
Value = (9×1 + 4) / 90 = 13 / 90
3) Convert 0.12̅
a = 1, b = 2
Value = (9×1 + 2) / 90 = 11 / 90
Now compute:
0.17̅ + 0.14̅ − 0.12̅ = (8/45) + (13/90) − (11/90)
Convert first term: 8/45 = 16/90
So:
= (16/90 + 13/90 − 11/90) = 18/90 = 1/5
Correct Answer: 1/5
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