How do I compare fractions, decimals and percentages?

Snoot, Fin and Plimble use fractions, decimals and percentages when fueling their saucer.

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.

The gauge on a tank shows that 10 out of 100 means 10 percent.

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

The gauge on a tank shows that ten percent is the same measure as one tenth.

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.

For example:

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.

For example:

0.01 is the same as ¹⁄₁₀₀

0.07 is the same as ⁷/₁₀₀

The gauge on a tank shows that 10 percent, one tenth and 0.1 are all the same.
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