A percentage is a number expressed in terms of it's relation to 100.
It is a number divided by 100. We need to get to our original number.
We multiply our percentage by 100, which is the same as moving the decimal point to the right 2 places.
The first move to the right gives us 200. The second decimal place move gives us 20.
Now, since a percentage is expressed in relation to 100, our number is:
| Percentage = | 20 |
| 100 |
Using our GCF Calculator we see that they share a Greatest Common Factor (GCF) of 20.
Reducing the numerator and denominator of 20/100 by our GCF of 20, we get the following reduced fraction:
Fraction = 1/5
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 20 one decimal place to the left, we get --> 2
Shift 2 another decimal place to the left, we get --> 0.2
Check to see if 0.2 is a terminating decimal:
A terminating decimal is one that endsSince the decimals 2 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.
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
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?
- decimal
- Number in the form a/b where the result is not a whole number
- denominator
- The bottom portion of a fraction. For a/b, b is the denominator
- fraction
- how many parts of a certain size exist
a/b where a is the numerator and b is the denominator - numerator
- the number above the line in a common fraction
- percent
- a specified amount in or for every hundred. one part in every hundred.
n% = n/100 - percentage-decimal-fraction relations
Example calculations for the Percentage-Decimal-Fraction Relations Calculator
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