MCQ practice · SSC Higher Mathematics Board questions · Chapter 7: Infinite Series
What will be 1.2̇ as a rational fraction?
Think it through first, then pick an option.
- a 4/3
- b 11/9
- c 6/5
- d 11/10
Answer and explanation
Correct answer: b 11/9
1.2̇ = 1 + 0.2/0.9 = 1 + 2/9 = 11/9.
Why the other options are wrong
- a 4/3: 4/3 = 1.333…, that is 1.3̇; here 2 repeats.
- c 6/5: 6/5 = 1.2 is a terminating decimal; when 2 repeats the value is larger.
- d 11/10: 11/10 = 1.1, not 1.222…; the correct answer is 11/9.
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