MCQ
The simplest of $1.\bar6$ is:
- A$\frac{8}{5}$
- ✓$\frac{5}{3}$
- C$\frac{833}{500}$
- DNone of these.
✓
Answer
Correct option: B.
$\frac{5}{3}$
Let $x = 1.666... ---(i)$Multiply eq. (i) by 10, we get
$10x = 16.666... ----(ii)$
Subtract eq$(i)$ from $(ii)$ we get
$9x = 15$
$\text{x}=\frac{5}{3}$
$10x = 16.666... ----(ii)$
Subtract eq$(i)$ from $(ii)$ we get
$9x = 15$
$\text{x}=\frac{5}{3}$
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