Decimals, Fractions, and Percentages

Definition

Decimals, Fractions & Percentages are different ways of showing value

Examples

PercentDecimalFraction
1%0.011/100
5%0.055/100
10%0.110/100
25%0.2525/100
50%0.550/100
75%0.7575/100
100%1100/100
125%1.25125/100
150%1.5150/100
200%2200/100

Conversions

Base FormDecimalsFractionsPercentages
Decimals1) multiply by (10/10) for every number after the decimal point 2) simplify the fractionmultiply by 100, and add a “%” sign
Fractionsdivide the numerator by the denominator1) divide the numerator by the denominator,2) then multiply the result by 1003) and add the “%” sign
Percentages1) divide by 1002) remove the “%” sign1) divide by 100 & remove %2) multiply by (10/10) for every number after the decimal point3) simplify the fraction

Examples

Base FormDecimalsFractionsPercentages
0.1250.1251/812.5%
2/50.42/540%
75%0.753/475%

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Relative Frequency

Discrete and Continuous Data