How do I compare fractions, decimals and percentages?
What are percentages?
Per means out of. You might have seen cent as part of centimetre. A centimetre is one hundredth of a metre.
Percent means out of 100 and percentages are shown with the symbol %.
For example 10% is 10 out of 100.
Percentages and fractions
Percentages are a bit like fractions with the number of percent on top and 100 underneath.
So 10% is the same as ¹⁰⁄₁₀₀.
You can sometimes make fractions easier to work with by dividing top and bottom by the same number.
10 and 100 both divide by 10, so ¹⁰⁄₁₀₀ = ¹⁄₁₀. That means 10% = ¹⁄₁₀
What about decimals?
Decimals (or decimal fractions) are written using numbers and a dot.
Numbers to the left of the dot are whole numbers.
In 1.0 the 1 just means one.
Numbers to the right of the dot are parts (or fractions) of a number.
Numbers one space to the right of the dot are tenths.
0.1 is the same as ¹⁄₁₀
0.3 is the same as ³⁄₁₀
Numbers two spaces to the right of the dot are hundredths.
0.01 is the same as ¹⁄₁₀₀
0.07 is the same as ⁷/₁₀₀