The decimal 4.5 equals the fraction 9/2.
This is because 4.5 can be written as 4.5/1, then multiplying numerator and denominator by 10 gives 45/10, which simplifies to 9/2 by dividing both by 5. So, 4.5 as a fraction is 9/2, a simplified form of the original decimal.
Conversion Result
4.5 decimal equals 9/2 as a fraction.
Conversion Tool
Result in fraction:
Conversion Formula
The formula to convert a decimal to a fraction involves expressing the decimal over 1, then multiplying numerator and denominator by a power of 10 to remove decimal points, and finally simplifying. For example, for 4.5:
- Start with 4.5/1.
- Multiply both numerator and denominator by 10: (4.5 x 10)/(1 x 10) = 45/10.
- Simplify by dividing numerator and denominator by their greatest common divisor, which is 5: 45 ÷ 5 / 10 ÷ 5 = 9/2.
Conversion Example
- Convert 2.75 to fraction:
- Express as 2.75/1.
- Multiply numerator and denominator by 100: 275/100.
- Simplify by dividing both by 25: 11/4.
- Convert 0.125 to fraction:
- Express as 0.125/1.
- Multiply numerator and denominator by 1000: 125/1000.
- Simplify by dividing both by 125: 1/8.
- Convert 3.333 to fraction:
- Express as 3.333/1.
- Multiply numerator and denominator by 1000: 3333/1000.
- Since 3333 and 1000 have no common divisors other than 1, the fraction is 3333/1000 or simplified as 3333/1000 if needed.
Conversion Chart
| Decimal | Fraction |
|---|---|
| -20.5 | -41/2 |
| -19.5 | -39/2 |
| -18.5 | -37/2 |
| -17.5 | -35/2 |
| -16.5 | -33/2 |
| -15.5 | -31/2 |
| -14.5 | -29/2 |
| -13.5 | -27/2 |
| -12.5 | -25/2 |
| -11.5 | -23/2 |
| -10.5 | -21/2 |
| -9.5 | -19/2 |
| -8.5 | -17/2 |
| -7.5 | -15/2 |
| -6.5 | -13/2 |
| -5.5 | -11/2 |
| -4.5 | -9/2 |
| -3.5 | -7/2 |
| -2.5 | -5/2 |
| -1.5 | -3/2 |
| -0.5 | -1/2 |
| 0.5 | 1/2 |
| 1.5 | 3/2 |
| 2.5 | 5/2 |
| 3.5 | 7/2 |
| 4.5 | 9/2 |
| 5.5 | 11/2 |
| 6.5 | 13/2 |
| 7.5 | 15/2 |
| 8.5 | 17/2 |
| 9.5 | 19/2 |
| 10.5 | 21/2 |
| 11.5 | 23/2 |
| 12.5 | 25/2 |
| 13.5 | 27/2 |
| 14.5 | 29/2 |
| 15.5 | 31/2 |
| 16.5 | 33/2 |
| 17.5 | 35/2 |
| 18.5 | 37/2 |
| 19.5 | 39/2 |
| 20.5 | 41/2 |
Use this chart to quickly find the fraction form of decimal numbers between -20.5 and 29.5, aiding in conversions without calculations.
Related Conversion Questions
- How do I convert 4.5 into a fraction manually?
- What is the simplified form of 4.5 as a fraction?
- Can 4.5 be expressed as a mixed number?
- What is the fraction equivalent of 4.5 in lowest terms?
- How to convert decimal 4.5 to a fraction step-by-step?
- Is 4.5 equal to any common fractions like 9/2 or 18/4?
- What is the fractional representation of 4.5 without a calculator?
Conversion Definitions
Decimal
A decimal is a number expressed using a point to separate the whole number part from the fractional part, representing values in base 10, allowing precise representation of fractions and real numbers in a convenient form.
Fraction
A fraction is a mathematical expression representing a part of a whole, written as numerator over denominator, indicating how many parts of a certain size are being considered.
Conversion FAQs
Can any decimal be converted to a fraction?
Most decimals, especially terminating and repeating ones, can be converted into fractions by applying specific methods. Terminating decimals are easier, while repeating decimals require more steps to express as fractions accurately.
Why is 4.5 expressed as 9/2 in simplest terms?
Because 4.5 equals 45/10, which simplifies to 9/2 by dividing numerator and denominator by their greatest common divisor, 5. Simplifying fractions makes them easier to work with and understand.
What tools can I use to convert 4.5 to a fraction?
Manual calculation methods, online calculators, and embedded conversion tools like the one above can help convert 4.5 into 9/2 efficiently. The choice depends on preference and the need for accuracy or simplicity.
