Converting 0.123 to a Fraction in Simplest Form
What is 0.123 as a Fraction?
0.123 is a decimal number that can be converted to a fraction. To do this, we need to find the equivalent fraction that represents the same value.
Converting 0.123 to a Fraction
To convert 0.123 to a fraction, we can use the following steps:
- Write the decimal as a fraction with a denominator of 1000: 0.123 = 123/1000
- Simplify the fraction: 123/1000 = 41/333 (after dividing both numerator and denominator by their greatest common divisor, which is 3)
0.123 as a Fraction in Simplest Form
Therefore, the simplest form of 0.123 as a fraction is:
41/333
This fraction is in its simplest form because both the numerator (41) and the denominator (333) are coprime, meaning they do not have any common factors other than 1.
Conclusion
In conclusion, the decimal 0.123 can be converted to a fraction in simplest form as 41/333. This equivalent fraction represents the same value as the original decimal number.
