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The decimal 0.6 converts to the fraction 3/5.
This is because 0.6 can be expressed as a fraction by recognizing it as six-tenths. Simplifying six-tenths divides numerator and denominator by their greatest common divisor, which is 2, resulting in 3/5.
Conversion Result
0.6 decimal is equivalent to the fraction 3/5 after simplification.
Conversion Tool
Result in fraction:
Conversion Formula
The formula to convert a decimal to a fraction involves writing the decimal over a power of ten based on its decimal places. For example, for 0.6, it’s 6 over 10. Then, find the greatest common divisor (GCD) to reduce the fraction to its simplest form. This works because any decimal can be expressed as a ratio of integers.
- Write 0.6 as 6/10.
- Calculate GCD of 6 and 10, which is 2.
- Divide numerator and denominator by GCD: 6 ÷ 2 = 3, 10 ÷ 2 = 5.
- Resulting fraction: 3/5.
Conversion Example
- Convert 0.75 to fraction:
- Write 0.75 as 75/100.
- Calculate GCD of 75 and 100, which is 25.
- Divide numerator and denominator by 25: 75 ÷ 25 = 3, 100 ÷ 25 = 4.
- Result: 3/4.
- Convert 0.2 to fraction:
- Express as 2/10.
- GCD of 2 and 10 is 2.
- Simplify: 2 ÷ 2 = 1, 10 ÷ 2 = 5.
- Answer: 1/5.
- Convert 0.125 to 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 |
| -15.5 | -31/2 |
| -10.0 | -10/1 |
| -5.6 | -28/5 |
| -3.3 | -33/10 |
| 0.0 | 0/1 |
| 0.6 | 3/5 |
| 2.4 | 12/5 |
| 5.6 | 28/5 |
| 10.0 | 10/1 |
| 15.5 | 31/2 |
| 20.0 | 20/1 |
| 25.6 | 128/5 |
This chart helps to quickly find the fraction equivalents of decimal numbers within the listed range. It is useful for quick reference or learning how decimals convert into fractions.
Related Conversion Questions
- How do I convert 0.6 to a simplified fraction?
- What is the fraction form of decimal 0.6?
- Can you show me step-by-step to turn 0.6 into a fraction?
- What fraction is equivalent to 0.6?
- How to convert 0.6 decimal into lowest terms?
- Is 3/5 the only fraction equivalent to 0.6?
- How do I express 0.6 as a mixed number or improper fraction?
Conversion Definitions
Decimal
A decimal is a number expressed using a decimal point to separate whole parts from fractional parts, representing fractions of ten or powers of ten, enabling precise representation of real numbers in a base-ten system.
Fraction
A fraction is a mathematical expression representing the division of one integer (numerator) by another (denominator), used to describe parts of a whole or ratios, which can be simplified or converted into decimals.
Conversion FAQs
How do I convert a decimal like 0.6 into a fraction manually?
To convert 0.6 manually, write it as 6/10. Find the GCD of 6 and 10, which is 2. Divide numerator and denominator by 2 to get 3/5. This is the simplified fraction form of 0.6.
Why does 0.6 equal 3/5 in fraction form?
Because 0.6 is six-tenths, which reduces to 3/5 when divided by their GCD, 2. This reduction makes the fraction simplest and equivalent to the decimal.
Can all decimal numbers be converted into fractions?
Most terminating and repeating decimals can be converted into fractions. Non-repeating, non-terminating decimals are irrational and cannot be expressed exactly as fractions.
How do I handle converting decimals with more decimal places?
Write the decimal over a power of ten based on decimal places, then simplify. For example, 0.1234 becomes 1234/10000, then reduce by GCD.
