0.003 Repeating as a Fraction in Simplest Form
What is 0.003 Repeating?
The decimal number 0.003 repeating is a non-terminating, non-repeating decimal that has a pattern of 3's repeating indefinitely. It can be written as:
0.003333...
How to Convert 0.003 Repeating to a Fraction?
To convert 0.003 repeating to a fraction, we can use the following steps:
- Let x = 0.003333...
- Multiply both sides by 1000 (to eliminate the decimals): 1000x = 3.333...
- Subtract x from both sides: 999x = 3
- Divide both sides by 999: x = 3/999
- Simplify the fraction: x = 1/333
Simplest Form of 0.003 Repeating
The simplest form of 0.003 repeating as a fraction is 1/333. This fraction is in its simplest form because both the numerator and the denominator are integers, and the denominator is not divisible by the numerator.
Conclusion
In conclusion, the decimal number 0.003 repeating can be converted to a fraction in simplest form, which is 1/333. This fraction represents the same value as the repeating decimal, but in a more convenient and simplified form.
