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EXAMPLE 2:
Convert percentage to mixed numbers.
a) 130%
b) 370%
c) 412%
d) 505%
SOLUTION:
\(\text{a) }130\%\to\frac{130}{100}\\ \,\,\,\,\,\,\frac{13\cancel0}{10\cancel0}\to\frac{13}{10}\to1\frac{3}{10}\)
In decimals,
\(1\frac{3}{10}\to1.3\)
\(\text{b) }370\%\to\frac{370}{100}\\ \,\,\,\,\,\,\frac{37\cancel0}{10\cancel0}\to\frac{37}{10}\to3\frac{7}{10} \)
In decimals,
\(3\frac{7}{10}\to3.7\)
\(\text{c) }412\%\to\frac{412}{100}\to4\frac{12}{100}\\ \,\,\,\,\,\,4\frac{12\,\div\,4}{100\,\div\,4}=4\frac{3}{25}\\ \)
In decimals,
\(4\frac{12}{100}\to4.12\)
\(\text{d) }505\%\to\frac{505}{100}\to5\frac{5}{100}\\ \,\,\,\,\,\,\,5\frac{5\,\div\,5}{100\,\div\,5}=5\frac{1}{20}\)
In decimals,
\(5\frac{5}{100}\to5.05\)
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