The decimal 0.6 converts to the fraction 3/5.
To convert 0.6 to a fraction, recognize that 0.6 means six tenths. Simplify six tenths by dividing numerator and denominator by their greatest common divisor, which is 2, resulting in 3/5. This process transforms the decimal into its simplest fractional form.
Conversion Result
0.6 as a fraction is 3/5.
Conversion Tool
Result in fraction:
Conversion Formula
The formula to convert a decimal to a fraction involves expressing the decimal as a fraction over a power of 10, then simplifying. For 0.6, write it as 6/10, then divide numerator and denominator by their GCD, which is 2, yielding 3/5. This ensures the fraction is in its lowest terms.
Mathematically, for any decimal d, if d has n decimal places, then d = (d * 10^n) / 10^n. Simplify this fraction by dividing numerator and denominator by their GCD. For example, 0.75 becomes 75/100, which simplifies to 3/4 after dividing both by 25.
Conversion Example
- Convert 0.25 to a fraction:
- Write as 25/100
- Find GCD of 25 and 100, which is 25
- Divide numerator and denominator by 25: 25/25=1, 100/25=4
- Result: 1/4
- Convert 0.8 to a fraction:
- Express as 8/10
- GCD of 8 and 10 is 2
- Simplify: 8/2=4, 10/2=5
- Result: 4/5
- Convert 0.125 to a fraction:
- Write as 125/1000
- GCD of 125 and 1000 is 125
- Simplify: 125/125=1, 1000/125=8
- Result: 1/8
Conversion Chart
| Decimal | Fraction |
|---|---|
| -24.4 | -122/5 |
| -20.0 | -20/1 |
| -15.2 | -76/5 |
| -10.0 | -10/1 |
| -5.6 | -28/5 |
| 0.0 | 0/1 |
| 0.6 | 3/5 |
| 1.0 | 1/1 |
| 5.6 | 28/5 |
| 10.0 | 10/1 |
| 15.2 | 76/5 |
| 20.0 | 20/1 |
| 25.6 | 128/5 |
Use this chart to quickly find the fractional equivalents of decimal numbers within the range. Identify your decimal, then read across to see its simplified fraction form.
Related Conversion Questions
- How can I convert 0.6 to an improper fraction?
- What is the simplest form of 0.6 as a fraction?
- Can 0.6 be expressed as a mixed number?
- What is the decimal 0.6 as a percentage and fraction?
- How do I convert repeating decimals like 0.666… into fractions?
- Is 3/5 the only way to represent 0.6 in fraction form?
- What are other decimals close to 0.6 in fractional form?
Conversion Definitions
Decimal
A decimal is a number expressed in base 10, using a decimal point to separate whole numbers from fractional parts, allowing precise representation of real numbers, including fractions, through powers of ten.
Fraction
A fraction is a mathematical expression representing a part of a whole, written as a numerator divided by a denominator, indicating how many parts of a certain size are being considered, and can be simplified to its lowest terms.
Conversion FAQs
How do I convert a repeating decimal like 0.666… into a fraction?
To convert repeating decimals, set the decimal to a variable, multiply to move the repeating part, subtract to eliminate the repeat, then solve for the variable. For 0.666…, it simplifies to 2/3 after algebraic manipulation.
Why does 0.6 convert to 3/5 instead of another fraction?
Because 0.6 is exactly six tenths, which reduces to 3/5 when dividing numerator and denominator by their GCD, 2. This is the simplest form and the most accurate fractional representation of 0.6.
Can I convert 0.6 to a fraction without simplification?
Yes, initially, you can write 0.6 as 6/10. However, for most purposes, simplifying to 3/5 provides a cleaner, more manageable form, which is the standard practice in mathematics.