Question

3.57 bar rationalise it in the form of p/q
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Answer 1

$\star\:\:\:\bf\large\underline\blue{Question:-}$

• Write the number $3.\overline{57}$ in $\frac{p}{q}$ form.

$\star\:\:\:\bf\large\underline\blue{Solution:-}$

Let $x = 3. \overline{57}$

Therefore,

$100x= 357. \overline{57}$

$\implies 100x - x = 357. \overline{57} - 3. \overline{57}$

$\implies 99x = 354$

$\implies x = \frac{354}{99}$

$\implies x = \frac{118 \times \cancel{3}}{33 \times \cancel {3} }$

$\implies x = \frac{118}{33}$

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• $x = \frac{118}{33}$