Question

Convert given percents to decimal fraction and also to its fractions in simple forms :
(i)6 1/4%
(ii)33 1/3%
(iii)3 1/8%
(iv)300%
(v)375%
(vi)21.3%

Answer 1

$$\begin{gathered} \left(1\right). \\ 6\frac{1}{4}\% \\ =\frac{25}{4}\% \\ =\frac{25}{400}=0.0625\left(\mathrm{Decimal}\mathrm{fraction}\right) \\ =\frac{1}{16}\left(\mathrm{Fraction}\mathrm{in}\mathrm{simplest}\mathrm{form}\right) \\ \left(2\right). \\ 33\frac{1}{3}\% \\ =\frac{100}{3}\% \\ =\frac{100}{300}=0.\overline{3}\left(\mathrm{Decimal}\mathrm{fraction}\right) \\ =\frac{1}{3}\left(\mathrm{Fraction}\mathrm{in}\mathrm{simplest}\mathrm{form}\right) \\ \left(3\right). \\ 3\frac{1}{8}\% \\ =\frac{25}{8}\% \\ =\frac{25}{800}=0.03125\left(\mathrm{Decimal}\mathrm{fraction}\right) \\ =\frac{1}{32}\left(\mathrm{Fraction}\mathrm{in}\mathrm{simplest}\mathrm{form}\right) \\ \left(4\right). \\ 300\% \\ =\frac{300}{100}=3.00\left(\mathrm{Decimal}\mathrm{fraction}\right) \\ =\frac{3}{1}\left(\mathrm{Fraction}\mathrm{in}\mathrm{simplest}\mathrm{form}\right) \end{gathered}$$


In the same way, you can solve the remaining 2 parts.
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