Question
$52.7 ÷ $_____ $= 0.527$

Answer

Let $x$ be the missing number, then $52.7 + x = 0.527$
$\Rightarrow \frac{527}{10}\times\frac{1}{\text{x}}=\frac{527}{1000}$
$\big[\because\text{reciprocal of x}=\frac{1}{\text{x}}\big]$
$\Rightarrow\frac{527}{10}\times\frac{1000}{527}=\text{x}$
$\Rightarrow\text{x}=100$
Hence, $52.7 + 100 = 0.527$

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