Percentage-Decimal-Fraction Relations Calculator

Convert 37% to a fraction and a decimal:

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 370. The second decimal place move gives us 37.

Now, since a percentage is expressed in relation to 100, our number is:

Percentage  =	37
	100

From our understanding of fractions, we see that 37 and 100 cannot be reduced down any more.
Our fraction answer is just 37/100.

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 37 one decimal place to the left, we get --> 3.7
Shift 3.7 another decimal place to the left, we get --> 0.37

Check to see if 0.37 is a terminating decimal:

A terminating decimal is one that ends
Since the decimals 7 does not repeat,
this is a terminating decimal

Tags:

• decimal
• denominator
• fraction
• numerator
• percent
• percentage-decimal-fraction relations

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