Table of Contents
The decimal 4.68 converts to the fraction 468/100, which simplifies to 117/25. This means that 4.68 can be represented as a ratio of two integers, making it easier for calculations and comparisons in fractions.
To convert 4.68 to a fraction, we first write it as 4.68/1. Then, multiply numerator and denominator by 100 to eliminate decimal points, resulting in 468/100. Simplify this by dividing both by 4, giving 117/25. So, 4.68 equals 117/25 in fractional form.
Conversion Result
4.68 in decimal form equals the fraction 117/25 when fully simplified.
Conversion Tool
Result in fraction:
Conversion Formula
To convert a decimal to a fraction, multiply the decimal by a power of ten equal to the number of decimal places, then simplify. This works because decimals are fractions with a denominator of 10, 100, 1000, etc. For example, 4.68 becomes 468/100, which simplifies to 117/25 after dividing numerator and denominator by 4.
Conversion Example
- Convert 2.5 to a fraction:
- Write as 2.5/1
- Multiply numerator and denominator by 10: 25/10
- Simplify by dividing both by 5: 5/2
- Result: 2.5 = 5/2
- Convert 0.75:
- Write as 0.75/1
- Multiply by 100: 75/100
- Simplify by dividing both by 25: 3/4
- Result: 0.75 = 3/4
- Convert 3.125:
- Write as 3.125/1
- Multiply numerator and denominator by 1000: 3125/1000
- Simplify by dividing both by 125: 25/8
- Result: 3.125 = 25/8
Conversion Chart
This table shows decimal values from -20.3 to 29.7 and their corresponding fractions. Use it to quickly find approximate fractions for these decimals.
| Decimal | Fraction |
|---|---|
| -20.3 | -203/10 |
| -15.6 | -78/5 |
| -10.2 | -51/5 |
| -5.5 | -11/2 |
| 0.0 | 0/1 |
| 5.5 | 11/2 |
| 10.2 | 51/5 |
| 15.6 | 78/5 |
| 20.3 | 203/10 |
| 25.4 | 127/5 |
| 29.7 | 297/10 |
Read the chart by matching your decimal to its closest value, then find the corresponding fraction for quick reference.
Related Conversion Questions
- How do I convert 4.68 to a mixed number?
- What is the simplest form of 4.68 as a fraction?
- Can 4.68 be written as a repeating decimal?
- How do I convert 4.68 into a percentage?
- What is the decimal equivalent of 117/25?
- How to convert 4.68 to a ratio?
- What is the decimal value of 7/15?
Conversion Definitions
Decimal: A number expressed in base ten, using digits 0-9 with a decimal point to represent fractional parts. It allows precise representation of real numbers, including fractions, in a continuous numeric scale.
Fraction: A ratio of two integers, where the numerator is divided by the denominator, representing parts of a whole. Fractions can be simplified and converted to decimals for different calculation methods.
Conversion FAQs
How do I simplify the fraction 468/100?
Find the greatest common divisor (GCD) of 468 and 100, which is 4. Divide both numerator and denominator by 4, resulting in 117/25, the simplest form of the fraction.
Is 117/25 an improper or proper fraction?
Since the numerator (117) is larger than the denominator (25), 117/25 is an improper fraction. It can also be written as a mixed number: 4 17/25.
Can I convert 4.68 to a percentage directly?
Yes, multiply 4.68 by 100 to get 468%, which is the percentage equivalent of the decimal 4.68.
What are the advantages of converting decimals to fractions?
Converting to fractions simplifies precise calculations, especially in algebra and ratios, and helps visualize the parts of a whole more clearly than decimals.