Tag: converting between fractions or decimals and percentages

0.9% = $\displaystyle\frac{0.9}{100}\,=\, 0.009$

Let the persons income = $I$
He spends, $33 \frac{1}{3}$ % of his income = $\frac{100}{3}$ %
Thus, Money spend on food = $\frac{100}{3}$ % of I = $\frac{\frac{100}{3}}{100}$ of I = $\frac{I}{3}$

Thus, the man spends $\frac{1}{3}$ of his income on food.

$\frac{1}{8}$ % = $\frac{\frac{1}{8}}{100} = \frac{1}{800}$

$35$ % = $\frac{35}{100}$ = $\frac{7}{20}$

$18$ % = $\dfrac{18}{100}$ = $\dfrac{9}{50}$

$49$% can be written as $\dfrac {49}{100}$

To convert a percent to a fraction, write it over a denominator of 100 and simplify:
$420\% = \cfrac{420}{100} = \cfrac{21}{5}$

The fraction of $20\%$ is