0.05 as a Fraction in Lowest Terms
What is 0.05 as a Fraction?
The decimal number 0.05 can be expressed as a fraction in lowest terms. But before we dive into that, let's understand what a fraction is and how to convert a decimal to a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole as a ratio of two integers, numerator, and denominator. The numerator represents the number of equal parts, and the denominator represents the total number of parts.
Converting 0.05 to a Fraction
To convert 0.05 to a fraction, we need to find the numerator and denominator. There are a few steps to follow:
- Count the number of decimal places: 0.05 has two decimal places.
- Divide by 10 raised to the power of the number of decimal places: Divide 0.05 by 10^2 = 100.
- Simplify the resulting fraction: Simplify the resulting fraction to its lowest terms.
Let's do the calculation:
0.05 ÷ 100 = 1/200
Simplifying the Fraction
The resulting fraction is 1/200. This fraction is already in its lowest terms, as both the numerator and denominator are prime numbers and have no common factors.
Conclusion
Therefore, 0.05 as a fraction in lowest terms is 1/200.
Remember, converting decimals to fractions involves dividing by the appropriate power of 10 and simplifying the resulting fraction to its lowest terms.
