0.1 as a Simplified Fraction
What is a Simplified Fraction?
A simplified fraction is a fraction that is reduced to its simplest form. This means that the numerator (the top number) and the denominator (the bottom number) of the fraction have no common factors other than 1.
Converting 0.1 to a Fraction
The decimal 0.1 can be converted to a fraction by dividing the numerator by the denominator. In this case, the numerator is 1 and the denominator is 10.
0.1 as a Fraction
So, the fraction equivalent of 0.1 is:
1/10
This is a simplified fraction because the numerator and denominator have no common factors other than 1.
Why is 1/10 a Simplified Fraction?
To prove that 1/10 is a simplified fraction, we can try dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 1 and 10 is 1, which means that we cannot simplify the fraction further.
Conclusion
In conclusion, the decimal 0.1 can be converted to a simplified fraction, which is 1/10. This simplified fraction has no common factors other than 1, making it the simplest form of the fraction.
