What is 5.8 as a Fraction?
5.8 as a fraction is 29/5. You get this by writing 5.8 over 10 and then simplifying. As a mixed number, it is 5 and 4/5. This guide shows you the simple method step by step.
Turning a decimal like 5.8 into a fraction is useful for recipes, measurements, and math class. Here is how to do it the easy way.
The Quick Answer
Here is 5.8 shown as a decimal, a fraction, and a mixed number.
| Decimal | Fraction | Mixed Number |
|---|---|---|
| 5.8 | 29/5 | 5 4/5 |
So the decimal 5.8 equals 29/5 as a fraction. That is the same as 5 and four-fifths.
How to Convert 5.8 to a Fraction (Step by Step)
Turning a decimal into a fraction takes three easy steps. Here is how it works for 5.8.
- Write the decimal over 1. Start with 5.8 / 1.
- Multiply top and bottom by 10. Since 5.8 has one decimal place, multiply by 10. This gives 58/10.
- Simplify the fraction. Divide top and bottom by 2. This gives 29/5.
So 5.8 as a fraction is 29/5. You can also write it as the mixed number 5 4/5.
Why This Works
A decimal shows a part of a whole using tenths, hundredths, and so on. The digit after the point in 5.8 sits in the "tenths" place. That is why we put it over 10.
The number 58 is the numerator (top) and 10 is the denominator (bottom). To make the fraction as small as possible, we find the greatest common factor. Both 58 and 10 divide by 2, so 58/10 becomes 29/5. For more on simplifying, visit Khan Academy, a free and trusted math source.
Try It Yourself
Want to convert other decimals or fractions fast? Use our free Fraction Calculator for instant results. You can also open our main Scientific Calculator for any math problem.
Frequently Asked Questions
Is 5.8 equal to 29/5?
Yes. Writing 5.8 as 58/10 and simplifying gives 29/5. As a mixed number, that is 5 and 4/5.
What is 5.8 as a mixed number?
5.8 as a mixed number is 5 4/5. The whole number 5 stays, and 0.8 becomes 4/5 after simplifying.
Why do we multiply by 10?
Because 5.8 has one digit after the decimal point. Multiplying by 10 removes the point and turns it into a whole number over 10.
How do I turn any decimal into a fraction?
Write the decimal over 1, then multiply top and bottom by 10 for each decimal place. Finally, simplify the fraction to its lowest form.
Final Answer
5.8 as a fraction is 29/5, or 5 4/5 as a mixed number. Write it over 10, then simplify. With this simple method, you can turn any decimal into a fraction in seconds.