A percentage is a fraction of 100. To change a fraction into a percentage, we make the denominator 100 or multiply by 100.
If the bottom number (denominator) can change to 100 easily, change it.
Example: \( \frac{3}{4} \)
\[ \frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100} = 75\% \]
Example: \( \frac{7}{20} \)
\[ \frac{7}{20} = \frac{7 \times 5}{20 \times 5} = \frac{35}{100} = 35\% \]
Any fraction can be changed to a percentage by multiplying by \(100\%\).
Example: \( \frac{2}{5} \)
\[ \frac{2}{5} \times 100\% = 40\% \]
Example: \( \frac{6}{25} \)
\[ \frac{6}{25} \times 100\% = 24\% \]
Change to an improper fraction first, then multiply by \(100\%\).
Example: \( 1\frac{1}{2} \)
\[ 1\frac{1}{2} = \frac{3}{2} \qquad \Rightarrow \qquad \frac{3}{2} \times 100\% = 150\% \]
Example: \( 2\frac{1}{4} \)
\[ 2\frac{1}{4} = \frac{9}{4} \qquad \Rightarrow \qquad \frac{9}{4} \times 100\% = 225\% \]
Convert each to a percentage.