3.16 (6 Repeating) as a Fraction
What is 3.16 (6 Repeating)?
The decimal number 3.16 (6 repeating) is a non-terminating, repeating decimal. This means that the decimal representation of the number goes on indefinitely in a repeating pattern. In this case, the pattern is "6" repeating indefinitely.
Converting 3.16 (6 Repeating) to a Fraction
To convert 3.16 (6 repeating) to a fraction, we can use the following steps:
- Let x = 3.16 (6 repeating)
- Multiply both sides of the equation by 100 to get rid of the decimal places:
- 100x = 316.6 (6 repeating)
- Multiply both sides of the equation by 2 to get rid of the repeating decimal:
- 200x = 633.2
- Subtract the original equation from the new equation to eliminate the repeating decimal:
- 200x - x = 633.2 - 3.16
- 199x = 630.04
- Divide both sides of the equation by 199 to solve for x:
- x = 630.04/199
- x = 633/200
The Result
Therefore, 3.16 (6 repeating) as a fraction is:
633/200
This is the exact fraction equivalent of the repeating decimal 3.16 (6 repeating).
