0.058 Recurring as a Fraction
Have you ever wondered how to convert a recurring decimal, such as 0.058, into a fraction? In this article, we'll dive into the world of decimals and fractions to find out how to do just that.
What is a Recurring Decimal?
A recurring decimal, also known as a repeating decimal, is a decimal that has a sequence of digits that repeats indefinitely. For example, 0.058 is a recurring decimal because the sequence "058" repeats forever.
Converting 0.058 to a Fraction
To convert 0.058 to a fraction, we can use a simple trick. Let's multiply both the numerator and denominator of the fraction by the number of decimal places in the recurring sequence.
In this case, the recurring sequence is "058", which has 3 decimal places. So, we'll multiply both the numerator and denominator by 1000 (10^3).
Step 1: Multiply by 1000
Let's multiply 0.058 by 1000:
1000 × 0.058 = 58
Step 2: Divide by the Denominator
Now, we'll divide 58 by the denominator, which is also 1000:
58 ÷ 1000 = 29/500
And that's it! We've successfully converted 0.058 to a fraction, which is 29/500.
Conclusion
In conclusion, converting a recurring decimal, such as 0.058, to a fraction is a straightforward process. By multiplying the numerator and denominator by the number of decimal places in the recurring sequence, we can easily convert the decimal to a fraction. In this case, 0.058 as a fraction is 29/500.
I hope this article has helped you understand how to convert recurring decimals to fractions. If you have any more questions or need further clarification, feel free to ask!
