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Real Numbers — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsReal Numbers3 Marks
Question
Express the following as a fraction in simplest form:
$0.\overline{24}$
✓

Answer

Let $\text{x}=0. \overline{24}$
$\therefore\text{x}=0.2424\dots(1)$
$\text{100x}=24.2424\dots(2)$
On subtracting equation (1) from (2), we get
$\text{99x}=24$
$\Rightarrow\text{x}=\frac{8}{33}$
$\therefore0.24=\frac{\bar{8}}{33}$

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