Decimal to Fraction Converter
Convert between decimals and fractions with step-by-step calculations
How it works
- Decimal to Fraction: Converts decimal numbers to their simplest fraction form using GCD reduction
- Fraction to Decimal: Divides numerator by denominator to get decimal representation
- Percent Conversions: Converts between percentages, decimals, and fractions
- Mixed Fractions: Displays improper fractions as mixed numbers (whole number + proper fraction)
Decimal to Fraction Chart
The following decimal to fraction chart lists common fractions, their equivalent fractions, and decimal values. This chart is widely used in mathematics, education, construction, cooking, and also in business analytics when converting ratios, percentages, and KPIs into simplified fractional form.
| Fraction | Equivalent Fractions | Decimal |
|---|---|---|
| 1/2 | 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20, 11/22, 12/24 | 0.5 |
| 1/3 | 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 11/33, 12/36 | 0.333… |
| 2/3 | 4/6, 6/9, 8/12, 10/15, 12/18, 14/21, 16/24, 18/27, 20/30, 22/33, 24/36 | 0.666… |
| 1/4 | 2/8, 3/12, 4/16, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, 11/44, 12/48 | 0.25 |
| 3/4 | 6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40, 33/44, 36/48 | 0.75 |
| 1/5 | 2/10, 3/15, 4/20, 5/25, 6/30, 7/35, 8/40, 9/45, 10/50, 11/55, 12/60 | 0.2 |
| 2/5 | 4/10, 6/15, 8/20, 10/25, 12/30, 14/35, 16/40, 18/45, 20/50, 22/55, 24/60 | 0.4 |
| 3/5 | 6/10, 9/15, 12/20, 15/25, 18/30, 21/35, 24/40, 27/45, 30/50, 33/55, 36/60 | 0.6 |
| 4/5 | 8/10, 12/15, 16/20, 20/25, 24/30, 28/35, 32/40, 36/45, 40/50, 44/55, 48/60 | 0.8 |
| 1/6 | 2/12, 3/18, 4/24, 5/30, 6/36, 7/42, 8/48, 9/54, 10/60, 11/66, 12/72 | 0.166… |
| 5/6 | 10/12, 15/18, 20/24, 25/30, 30/36, 35/42, 40/48, 45/54, 50/60, 55/66, 60/72 | 0.833… |
| 1/7 | 2/14, 3/21, 4/28, 5/35, 6/42, 7/49, 8/56, 9/63, 10/70, 11/77, 12/84 | 0.143 |
| 2/7 | 4/14, 6/21, 8/28, 10/35, 12/42, 14/49, 16/56, 18/63, 20/70, 22/77, 24/84 | 0.286 |
| 3/7 | 6/14, 9/21, 12/28, 15/35, 18/42, 21/49, 24/56, 27/63, 30/70, 33/77, 36/84 | 0.429 |
| 4/7 | 8/14, 12/21, 16/28, 20/35, 24/42, 28/49, 32/56, 36/63, 40/70, 44/77, 48/84 | 0.571 |
| 5/7 | 10/14, 15/21, 20/28, 25/35, 30/42, 35/49, 40/56, 45/63, 50/70, 55/77, 60/84 | 0.714 |
| 6/7 | 12/14, 18/21, 24/28, 30/35, 36/42, 42/49, 48/56, 54/63, 60/70, 66/77, 72/84 | 0.857 |
| 1/8 | 2/16, 3/24, 4/32, 5/40, 6/48, 7/56, 8/64, 9/72, 10/80, 11/88, 12/96 | 0.125 |
| 3/8 | 6/16, 9/24, 12/32, 15/40, 18/48, 21/56, 24/64, 27/72, 30/80, 33/88, 36/96 | 0.375 |
| 5/8 | 10/16, 15/24, 20/32, 25/40, 30/48, 35/56, 40/64, 45/72, 50/80, 55/88, 60/96 | 0.625 |
| 7/8 | 14/16, 21/24, 28/32, 35/40, 42/48, 49/56, 56/64, 63/72, 70/80, 77/88, 84/96 | 0.875 |
| 1/9 | 2/18, 3/27, 4/36, 5/45, 6/54, 7/63, 8/72, 9/81, 10/90, 11/99, 12/108 | 0.111… |
| 2/9 | 4/18, 6/27, 8/36, 10/45, 12/54, 14/63, 16/72, 18/81, 20/90, 22/99, 24/108 | 0.222… |
| 4/9 | 8/18, 12/27, 16/36, 20/45, 24/54, 28/63, 32/72, 36/81, 40/90, 44/99, 48/108 | 0.444… |
| 5/9 | 10/18, 15/27, 20/36, 25/45, 30/54, 35/63, 40/72, 45/81, 50/90, 55/99, 60/108 | 0.555… |
| 7/9 | 14/18, 21/27, 28/36, 35/45, 42/54, 49/63, 56/72, 63/81, 70/90, 77/99, 84/108 | 0.777… |
| 8/9 | 16/18, 24/27, 32/36, 40/45, 48/54, 56/63, 64/72, 72/81, 80/90, 88/99, 96/108 | 0.888… |
Decimal to Fraction Converter
A Decimal to Fraction Converter is a simple yet powerful tool that helps users transform decimal numbers into their equivalent fractional forms and vice versa. Whether you are working on mathematics homework, preparing for standardized tests, dealing with engineering calculations, or even baking recipes, decimals and fractions are used interchangeably. However, decimals are easier for digital calculations, while fractions provide exact representations.
This converter automates the step-by-step process of reducing decimals into fractions using the Greatest Common Divisor (GCD) method. It also works the other way around — turning fractions into decimal or percentage form.
Key Features
Decimal to Fraction Conversion: Converts decimal numbers into their simplest fractional form using GCD reduction.
Fraction to Decimal Conversion: Divides numerator by denominator to get the decimal representation.
Decimal to Percent Conversion: Multiplies decimal values by 100 to express them as percentages.
Percent to Decimal Conversion: Divides percentages by 100 to express them as decimals.
Fraction to Percent Conversion: Converts fractions into percentages with proper reduction.
Percent to Fraction Conversion: Expresses percentages as simplified fractions.
Mixed Fraction Support: Converts improper fractions into mixed numbers.
Step-by-Step Breakdown: Displays calculation process for better understanding.
Educational Aid: Great for learning math concepts such as ratio, proportion, and simplification.
Advantages
Saves Time: No need to manually calculate conversions or simplify fractions.
Error-Free: Reduces chances of mistakes in manual math.
Step-by-Step Learning: Helpful for students to understand the calculation process.
Universal Application: Useful across education, science, finance, and cooking.
Improves Accuracy: Provides precise fractional values rather than approximations.
Reference Ready: Built-in decimal to fraction chart helps in quick lookups.
Difference Between Decimals and Fractions
| Feature | Decimals | Fractions |
|---|---|---|
| Form | Uses base-10 with a decimal point (e.g., 0.75) | Ratio of two integers (e.g., ¾) |
| Precision | May repeat infinitely (e.g., 0.333…) | Can exactly represent repeating decimals (⅓) |
| Ease of Calculation | Easier for addition, subtraction, multiplication | More useful in ratios, proportions, and measurements |
| Common Usage | Finance, science, digital systems | Recipes, construction, everyday measurements |
Uses of Decimal to Fraction Converter
Education: Students use it for math homework, exams, and learning concepts.
Cooking & Baking: Recipes often mix fractions (like ½ cup) and decimals (0.5 cups).
Engineering & Science: Measurements often involve decimals that need fractional precision.
Carpentry & DIY Projects: Converting decimals of inches into fractional inches.
Finance: Converting interest rates and ratios between decimal and fractional form.
Everyday Life: Reading measurements, dividing bills, or calculating probabilities.
Decimal to Fraction Chart in Business Analytics
In business analytics, numbers are often expressed in decimals (like 0.25) or percentages (25%). However, fractions are still highly valuable because they make ratios and proportions more intuitive. For example:
Market Share Analysis: A company with 0.333 (33.3%) market share can be expressed as 1/3 of the market, which provides a clearer proportional understanding.
Financial Ratios: Debt-to-equity, gross margin, and ROI are often presented as decimals but can also be represented as fractions for clearer benchmarks.
KPI Dashboards: Converting decimal KPIs into fractions (e.g., 0.5 = ½) helps executives interpret results more naturally.
A/B Testing: Conversion rates in marketing (like 0.125 = 1/8 of visitors converted) are easier to interpret as fractions.
Data Storytelling: Fractions simplify communication, especially in presentations to stakeholders without technical backgrounds.
Decimal–Fraction–Percent Conversion Chart
| Decimal | Fraction | Percent |
|---|---|---|
| 0.1 | 1/10 | 10% |
| 0.125 | 1/8 | 12.5% |
| 0.2 | 1/5 | 20% |
| 0.25 | 1/4 | 25% |
| 0.333… | 1/3 | 33.33% |
| 0.375 | 3/8 | 37.5% |
| 0.4 | 2/5 | 40% |
| 0.5 | 1/2 | 50% |
| 0.6 | 3/5 | 60% |
| 0.625 | 5/8 | 62.5% |
| 0.666… | 2/3 | 66.67% |
| 0.75 | 3/4 | 75% |
| 0.8 | 4/5 | 80% |
| 0.875 | 7/8 | 87.5% |
| 0.9 | 9/10 | 90% |
| 1.0 | 1/1 | 100% |
Why Use a Decimal to Fraction Chart in Analytics?
Clarity in Ratios: Fractions show proportional relationships more transparently than decimals.
Decision-Making: Business leaders often think in terms of “halves,” “thirds,” or “quarters” rather than 0.25 or 0.333.
Data Accuracy: Fractions avoid rounding errors that decimals introduce.
Cross-Industry Relevance: In finance, supply chain, retail, and marketing, the decimal to fraction chart acts as a universal reference tool.
KPI Benchmarks: Fractions provide better benchmarks for growth analysis (e.g., doubling sales = from 1/4 to 1/2 of the market).
