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How are percentages converted between fractions and decimals?

Updated: 9/25/2023

Wiki User

8y ago

"Percent" means "out of 100".

Thus to convert a percentage to a fraction put it over 100 and simplify. Examples:

50 % = 50/100 = 1/2

33 1/3 % = (33 1/3)/100 = (33 1/3 × 3)/(100 × 3) = 100/300 = 1/3

To convert a percentage to a decimal (as it is equivalent to a fraction with a denominator of 100 and conversion of a fraction to a decimal is achieved by dividing the numerator by the denominator) divide it by 100. Examples:

50 % = 50 ÷ 100 = 0.5

17.5 % = 17.5 ÷ 100 = 0.175

250 % = 250 ÷ 100 = 2.5

To do the reverse, multiply the value of 100 %. Examples

½ = ½ × 100 % = (½ × 100) % = 50 %

7/8 = 7/8 × 100 % = 700/8 % = 87½ % = 87.5 %

0.35 = 0.35 × 100 % = 35 %

0.012 = 0.012 × 100 % = 1.2 %

2.5 = 2.5 × 100 % = 250 %

Wiki User

8y ago

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Q: How are percentages converted between fractions and decimals?
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