0.058 as a Fraction in Lowest Terms ================================================?=
Converting decimals to fractions can be a bit tricky, but don't worry, we've got you covered. In this article, we'll show you how to convert 0.058 to a fraction in its lowest terms.
What is 0.058 as a Fraction?
To convert 0.058 to a fraction, we can divide the decimal by 1, and then find the equivalent fraction:
0.058 ÷ 1 = 0.058/1
Next, we need to find the equivalent fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Finding the Greatest Common Divisor (GCD)
To find the GCD of 58 and 100, we can use the following steps:
- List the factors of 58: 1, 2, 29, 58
- List the factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
- Identify the common factors: 1, 2
- The GCD is the highest common factor: 2
Simplifying the Fraction
Now that we have found the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 2:
(0.058 × 100) ÷ 2 = 58 ÷ 2 = 29 (1 × 100) ÷ 2 = 100 ÷ 2 = 50
So, the simplified fraction is:
29/50
Conclusion
0.058 as a fraction in its lowest terms is 29/50. We hope this article has helped you understand the process of converting decimals to fractions. If you have any more questions or need further assistance, feel free to ask!
