Percentage-Decimal-Fraction Relations Calculator -

Convert the following fraction to a percentage and decimal: →	5
	8

This is also written as 5 is what percent of 8?

Percentage =	Numerator * 100
	Denominator

Evaluating using our inputs, we get:

Percentage =	5 * 100
	8

Percentage =	500
	8

Percentage = 62.5%

Now we need to calculate the decimal version of the percentage:
The decimal version of a percentage is just the percentage divided by 100.

Dividing by 100 is the same as shifting the decimal point 2 places to the left.
Shift 62.5 one decimal place to the left, we get --> 6.25
Shift 6.25 another decimal place to the left, we get --> 0.625

Check to see if 0.625 is a terminating decimal:

A terminating decimal is one that ends
Since the decimals 5 does not repeat,
this is a terminating decimal

How does the Percentage-Decimal-Fraction Relations Calculator work?

Free Percentage-Decimal-Fraction Relations Calculator - Calculates the relational items between a fraction, a decimal (including repeating decimal and terminating decimal), a percentage, and the numerator and denominator piece of that fraction. Also calculates the percentage change going from one number to another or the amount increase or decrease of a percentage above/below a number. Round decimals. decimals into fractions
This calculator has 1 input.

What 3 formulas are used for the Percentage-Decimal-Fraction Relations Calculator?

Percent = Decimal * 100%
Decimal = Percent/100
Decimal = Numerator/Denominator

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Percentage-Decimal-Fraction Relations Calculator?

decimalNumber in the form a/b where the result is not a whole numberdenominatorThe bottom portion of a fraction. For a/b, b is the denominatorfractionhow many parts of a certain size exist
a/b where a is the numerator and b is the denominatornumeratorthe number above the line in a common fractionpercenta specified amount in or for every hundred. one part in every hundred.
n% = n/100percentage-decimal-fraction relations

Example calculations for the Percentage-Decimal-Fraction Relations Calculator

Percentage-Decimal-Fraction Relations Calculator Video

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