The decimal 4.68 as a fraction is approximately 117/25. This conversion involves expressing the decimal number as a ratio of two integers, simplifying if necessary, to make it easier to understand and work with in fractional form.
To convert 4.68 into a fraction, first recognize that 4.68 has two decimal places. Multiply both numerator and denominator by 100 to eliminate the decimal point, resulting in 468/100. Then, simplify this fraction by dividing numerator and denominator by their greatest common divisor, which is 4. So, 468 ÷ 4 = 117 and 100 ÷ 4 = 25, giving 117/25 as the simplified fraction.
Conversion Result
4.68 decimal equals approximately 117/25 as a simplified fraction.
Conversion Tool
Result in fraction:
Conversion Formula
The conversion from decimal to fraction involves multiplying the decimal number by a power of 10 equal to the number of decimal places, then simplifying the resulting fraction. For example, 4.68 has two decimal places, so multiply by 100 to get 468/100. Then, find the greatest common divisor (GCD) of numerator and denominator and divide both by it, to get the simplest form. This method works because any decimal can be written as a fraction with a power of ten denominator, which can be simplified to the lowest terms.
Step-by-step example: 4.68
– Multiply by 100: 4.68 × 100 = 468
– Write as fraction: 468/100
– Find GCD of 468 and 100, which is 4
– Divide numerator and denominator by 4: 468 ÷ 4 = 117, 100 ÷ 4 = 25
– Result: 117/25
Conversion Example
- Convert 2.5 to a fraction:
- Multiply by 10 (since one decimal place): 2.5 × 10 = 25
- Write as 25/10
- Find GCD of 25 and 10, which is 5
- Divide numerator and denominator by 5: 25 ÷ 5 = 5, 10 ÷ 5 = 2
- Simplified fraction: 5/2
- Convert 7.2 to a fraction:
- Multiply by 10: 7.2 × 10 = 72
- Write as 72/10
- GCD of 72 and 10 is 2
- Divide both by 2: 72 ÷ 2 = 36, 10 ÷ 2 = 5
- Simplified: 36/5
- Convert 0.75:
- Multiply by 100: 0.75 × 100 = 75
- Express as 75/100
- GCD is 25
- Divide numerator and denominator by 25: 75 ÷ 25 = 3, 100 ÷ 25 = 4
- Simplified form: 3/4
Conversion Chart
This chart shows various decimal values from -20.3 to 29.7 and their fractional equivalents. Read the decimal in the first column, then find the closest value in the second to see its fraction form. Use this to quickly estimate conversions for similar values.
| Decimal | Fraction |
|---|---|
| -20.3 | -203/10 |
| -15.7 | -157/10 |
| -10.5 | -21/2 |
| -5.2 | -26/5 |
| 0.0 | 0 |
| 5.4 | 27/5 |
| 10.9 | 109/10 |
| 15.6 | 78/5 |
| 20.3 | 203/10 |
| 25.7 | 257/10 |
| 29.7 | 297/10 |
Related Conversion Questions
- How can I convert 4.68 to a mixed number instead of a fraction?
- What is the simplest form of 4.68 expressed as a fraction?
- Can I convert 4.68 decimal into a percentage and then back to a fraction?
- How do I convert a decimal like 4.68 to a fraction manually?
- What are common fractions equivalent to 4.68 in decimal form?
- Is 4.68 closer to 117/25 or 118/25 as a fraction?
- How can I use a calculator to convert 4.68 decimal to fraction?
Conversion Definitions
Decimal
A decimal is a number expressed using a base-10 positional system that represents fractions through a dot (decimal point), indicating parts of a whole, allowing precise representation of values between integers.
Fraction
A fraction is a mathematical expression showing the division of one integer (numerator) by another (denominator), representing parts of a whole, and can be simplified to its lowest terms for easier interpretation or calculation.
Conversion FAQs
How do I know if a decimal can be simplified into a fraction?
If a decimal has a finite number of decimal places, it can be turned into a fraction by multiplying by a power of 10 corresponding to the decimal digits, then simplifying. Infinite repeating decimals require a different approach involving algebraic methods.
Can I convert 4.68 into a mixed number?
Yes, but since 4.68 is a mixed number already, it can be expressed as 4 17/25, which combines the whole number 4 with the fractional part 17/25 after simplifying.
What does it mean when a decimal is converted to a fraction?
Converting a decimal to a fraction means expressing the decimal as a ratio of two integers, making it easier to perform certain mathematical operations or to understand the exact value without approximation.
Is 117/25 the only way to express 4.68 as a fraction?
No, 117/25 is the simplified form. It can be expressed as a non-simplified fraction like 468/100, or in decimal form, but the simplest form is 117/25 which is the most reduced version.
How accurate is the conversion of 4.68 to 117/25?
The conversion is exact because 117/25 precisely equals 4.68 when calculated. However, if the decimal was an approximation or rounded, the fractional form would reflect that in its accuracy.