Question
The rational number $10.11$ in the from $\frac{\text{p}}{\text{q}}$ is _____.
✓
Answer
The rational number $10.11$ in the from $\frac{\text{p}}{\text{q}}$ is $\frac{1011}{100}.$
Solution: Let, $\text{x}=10.11$
$\Rightarrow100\text{x}=10.11\times100 [$multiplying both sides by $100]$
$\Rightarrow100\text{x}=1011$
$\Rightarrow\frac{100\text{x}}{100}=\frac{1011}{100} [$dividing both sides by $100]$
$\Rightarrow\text{x}=\frac{1011}{100}$
Hence, the rational number $10.11$ in the form $\frac{\text{p}}{\text{q}}$ is $\frac{1011}{100}.$
Solution: Let, $\text{x}=10.11$
$\Rightarrow100\text{x}=10.11\times100 [$multiplying both sides by $100]$
$\Rightarrow100\text{x}=1011$
$\Rightarrow\frac{100\text{x}}{100}=\frac{1011}{100} [$dividing both sides by $100]$
$\Rightarrow\text{x}=\frac{1011}{100}$
Hence, the rational number $10.11$ in the form $\frac{\text{p}}{\text{q}}$ is $\frac{1011}{100}.$
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