### Review of percentages

Percentages are fractions with a denominator of 100. To convert a percentage to its fraction equivalent, we begin by writing it with a denominator of 100. We can then simplify.

When the number is a whole number we just need to write it as fraction and simplify.
For example:

65% = \(\dfrac{65}{100} = \dfrac{13}{20}\) | 150% = \(\dfrac{150}{100} = 1\dfrac{1}{2}\) |

We can write these percentages as decimals by writing them as fractions with a denominator of 100 and converting to a decimal. For example:

65% = \(\dfrac{65}{100} = 0.65\) | 150% = \(\dfrac{150}{100} = 1.5\) |

When we are dealing with percentages where the number is not a whole number we need to calculate an 'equivalent fraction'.

For example: 45\(\dfrac{1}{2}\)% = \(\dfrac{45\frac{1}{2}}{100} = \dfrac{91}{200}\)

To write a percentage as a decimal, we divide by 100.

For example: 62.5% = \(\dfrac{62.5}{100}\) = 0.625