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The decimal 4.64 converted to fraction is approximately 116/25.
To convert 4.64 into a fraction, multiply by 100 to clear the decimal, giving 464/100. Simplify this by dividing numerator and denominator by their greatest common divisor, 4, resulting in 116/25. This process turns a decimal into a simplified fraction form.
Conversion of 4.64 to Fraction
Result in fraction:
Conversion Formula
The formula to convert decimal to fraction involves multiplying the decimal by a power of ten depending on decimal places, then reducing the resulting fraction by dividing numerator and denominator by their greatest common divisor. For example, 4.64 becomes (4.64 × 100)/(100) = 464/100, then simplified to 116/25.
Conversion Example
- Convert 2.75 to fraction:
- Multiply 2.75 by 100: 275/100
- Find GCD of 275 and 100, which is 25
- Divide numerator and denominator by 25: 11/4
- Result: 11/4
- Convert 0.5 to fraction:
- Multiply 0.5 by 10: 5/10
- GCD of 5 and 10 is 5
- Simplify to 1/2
- Convert 7.125 to fraction:
- Multiply 7.125 by 1000: 7125/1000
- GCD of 7125 and 1000 is 125
- Simplify to 57/8
Conversion Chart
This chart shows ranges of decimal values and their corresponding fractions, helping to visualize conversions from -20.4 to 29.6. To use, find your decimal value in the left column and read across to see its fractional form.
| Decimal | Fraction |
|---|---|
| -20.4 | -102/5 |
| -19.9 | -199/10 |
| -15.5 | -31/2 |
| -10.2 | -51/5 |
| -5.8 | -29/5 |
| 0 | 0 |
| 5.2 | 26/5 |
| 10.4 | 52/5 |
| 15.6 | 78/5 |
| 20.8 | 52/5 |
| 25.3 | 253/10 |
| 29.6 | 148/5 |
Related Conversion Questions
- How can I convert 4.64 to a mixed number?
- What is the simplest fraction form of 4.64 decimal?
- Can I convert 4.64 into a percentage and then into a fraction?
- What is the decimal to fraction conversion process for 4.64?
- Is 116/25 the most reduced form of 4.64 in fractions?
- How do I convert a decimal with repeating digits like 4.64 to fraction?
- What is the best way to convert 4.64 to an exact fraction?
Conversion Definitions
Decimal: A number expressed in base 10, using a decimal point to separate the whole part from fractional parts. It represents a value as a sum of powers of ten, often used for precise measurements and calculations.
Fraction: A mathematical expression representing a part of a whole, consisting of a numerator over a denominator. It describes division and parts of a whole, and can be simplified or converted to decimal form.
Conversion FAQs
How precise is the fraction 116/25 for 4.64?
This fraction exactly represents 4.64, as multiplying 116/25 with 1 gives the same value, without any approximation involved. It is the simplified form, so it provides precise representation of the decimal.
Why do we need to convert decimals to fractions?
Converting decimals to fractions helps in understanding exact ratios, simplifying algebraic expressions, or solving problems where precise fractional values are required instead of approximate decimal numbers.
Can all decimals be converted into fractions?
Yes, but some decimals, especially repeating or irrational ones, may result in infinite or non-terminating fractions, requiring special methods like repeating decimal formulas or approximations for practical uses.
