A proper fraction is when the numerator (top) is smaller than the denominator (bottom)
If you divide the denominator into the numerator, you get the decimal equivalent.
Percentage is simple the decimal multiplied by 100
For example, say one half of the class is made up of boys.
The boys fraction of the class is 1/2
The decimal equivalent is 1 divided by 2 = 0.50
The percentage is .50 x 100 =50%
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Because that it s harder to work out percentages than fractions and decimals
They can both be converted into decimals and from there into fractions or percentages.
Fractions can be converted to decimals, percentages or mixed numbers.
They're all numbers.
Decimals and percentages are easier to compare than fractions - particularly if they are unlike fractions. That does not explain why percentages are required when we have decimal number and there is no good answer to that!