Fraction and Integer Calculator
Calculate operations with mixed numbers, integers, and fractions. Automatically finds common denominators and outputs mixed, improper, and decimal results.
About
Professional carpentry, baking, and machining often require combining whole numbers with fractions. Errors in converting these values lead to wasted material or failed recipes. This tool standardizes arithmetic between integers and mixed numbers by automating the lowest common denominator search. It eliminates the manual error-prone process of converting mixed numbers to improper fractions before calculation. The interface provides immediate feedback in three formats to suit different measurement tools. Whether reading a tape measure or a digital caliper, the result matches the instrument.
Formulas
The core logic converts all inputs to improper fractions to standardize the operation. For a mixed number A bc, the improper form is:
When adding two fractions n1d1 and n2d2, the calculator finds the Least Common Multiple LCM for the denominators:
Reference Data
| Fraction | Decimal | Prime Factors (Denom) | LCM Ref (with 12) |
|---|---|---|---|
| 12 | 0.5 | 2 | 12 |
| 13 | 0.333... | 3 | 12 |
| 14 | 0.25 | 22 | 12 |
| 15 | 0.2 | 5 | 60 |
| 16 | 0.166... | 2 × 3 | 12 |
| 18 | 0.125 | 23 | 24 |
| 110 | 0.1 | 2 × 5 | 60 |
| 112 | 0.083... | 22 × 3 | 12 |
| 116 | 0.0625 | 24 | 48 |
| 132 | 0.03125 | 25 | 96 |