This decimal to fraction calculator is a powerful tool that change decimal numbers into fractions using Fraction = Decimal * (10^n) / (10^n) formula.
This handy calculator simplifies the process of changing decimals to fractions, which can be extremely useful in various mathematical and real-world applications.
Decimal to Fraction Calculator
| Decimal | Fraction | Simplified Fraction |
|---|---|---|
| 0.5 | 5/10 | 1/2 |
| 0.75 | 75/100 | 3/4 |
| 0.25 | 25/100 | 1/4 |
| 0.125 | 125/1000 | 1/8 |
| 0.333… | 333/999 | 1/3 |
| 0.1 | 1/10 | 1/10 |
| 0.2 | 2/10 | 1/5 |
| 0.333 | 333/1000 | 1/3 |
| 0.875 | 875/1000 | 7/8 |
| 0.666… | 666/999 | 2/3 |
| 0.4 | 4/10 | 2/5 |
| 0.625 | 625/1000 | 5/8 |
| 0.9 | 9/10 | 9/10 |
| 0.05 | 5/100 | 1/20 |
| 0.875 | 875/1000 | 7/8 |
Decimal to Fraction Conversion Formula
The basic formula for converting a decimal to fraction is:
Fraction = Decimal * (10^n) / (10^n)Where
Decimal is the decimal number you want to convert.
n is the number of decimal places in the decimal.
Converting 0.5 to a fraction
0.5 10/10 = 5/10, which simplifies to *1/2.
Converting 0.125 to a fraction
0.125 1000/1000 = 125/1000, which simplifies to *1/8.
How to Convert Decimals to Fractions?
To change decimals to fractions:
- Multiply the decimal by 10^n, where n is the number of decimal places.
- Write this as the numerator of the fraction.
- Use 10^n as the denominator.
- Simplify the fraction if possible.
For repeating decimals, the process is slightly different and involves algebraic manipulation.
What is in Fraction Form?
“In fraction form” refers to expressing a number as a ratio of two integers. This representation consists of a numerator (top number) and a denominator (bottom number), separated by a line or slash.
Examples:
- 1/2 (one-half)
- 3/4 (three-quarters)
- 5/8 (five-eighths)
Fractions can represent parts of a whole, ratios, or division operations.
What is 0.8333 as a Fraction?
To convert 0.8333 to a fraction:
- Recognize it as a repeating decimal (0.8333333…)
- Let x = 0.8333333…
- 10x = 8.333333…
- 10x – x = 8.333333… – 0.833333…
- 9x = 7.5
- x = 7.5/9 = 5/6
Therefore, 0.8333 (as a repeating decimal) is equivalent to the fraction 5/6.
How to Convert a Repeating Decimal to a Fraction?
Converting a repeating decimal to a fraction involves these steps:
- Let x equal the repeating decimal.
- Multiply both sides by a power of 10 that shifts the decimal point past the repeating part.
- Subtract the original equation from the new equation.
- Solve for x.
- Simplify the resulting fraction if possible.
This method eliminates the repeating part and allows you to solve for the fraction.
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