Fraction Calculator with Steps & Visualization
Solve fraction problems with detailed steps. Add, subtract, multiply, and divide fractions and mixed numbers. Features visual pie charts for conceptual understanding.
Result:
About
Fractions often represent the first major stumbling block in mathematics education, yet they remain ubiquitous in daily life—from adjusting culinary recipes to calculating precise measurements in carpentry. Precision is non-negotiable; a rounding error in a construction blueprint or a chemical mixture can lead to structural failure or ruined reactions.
This tool bridges the gap between abstract numerical manipulation and concrete visual understanding. By providing not just the simplest form of the result but also a step-by-step breakdown and a visual representation (pie charts), it serves students checking homework, chefs scaling recipes, and DIY enthusiasts ensuring their cuts are accurate. It handles proper fractions, improper fractions, and mixed numbers seamlessly.
Formulas
The core logic of fraction arithmetic relies on finding a common denominator for addition and subtraction, while multiplication and division operate directly on numerators and denominators.
For multiplication:
Visualizing these operations helps confirm the logic, ensuring the result 'looks right' physically.
Reference Data
| Fraction | Decimal | Percent | Context / Common Use |
|---|---|---|---|
| 1/2 | 0.5 | 50% | Half, standard split, '50-50' |
| 1/3 | 0.333... | 33.33% | Thirds, repeating decimal |
| 1/4 | 0.25 | 25% | Quarter, standard US currency coin |
| 1/5 | 0.2 | 20% | Quintile, standard tip rate |
| 1/8 | 0.125 | 12.5% | Octave, standard drill bit size increment |
| 3/8 | 0.375 | 37.5% | Common carpentry measurement |
| 2/3 | 0.666... | 66.67% | Two-thirds majority |
| 3/4 | 0.75 | 75% | Three quarters, majority |
| 5/8 | 0.625 | 62.5% | Slightly more than half |
| 7/8 | 0.875 | 87.5% | Almost whole, finishing size |