What is 3.6 repeating as a fraction?

3.6 repeating as a fraction

$Decimal Repeating as a fraction$

3.6 is a repeating decimal number and you want to convert it to a fraction or mixed number. When you say 3.6 repeating, you mean that the 1 is repeating. Here is the question formulated in mathematical terms with the vinculum line above the decimal number that is repeating.

3.6 repeating as a fraction

The formula to convert any repeating decimal number to a fraction is as follows:

		(DN x F) - NRP
		D

DN = Decimal Number

F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.

NRP = Non-repeating part of decimal number.

D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.

Below shows you how to get the answer to 3.6 repeating as a fraction using our formula.

		(3.6 x 10) - 3
		9

		33
		9

Below is the answer in the simplest form possible:

3.6 repeating as a fraction
= 3 2/3

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