Fraction Calculator Add, subtract, multiply, divide, simplify, and compare fractions — with step-by-step visuals and real...
Fraction Calculator
Add, subtract, multiply, divide, simplify, and compare fractions — with step-by-step visuals and real-world examples.
Addition/Subtraction**:
$$ \frac{3}{4} + \frac{1}{3} = \frac{9}{12} + \frac{4}{12} = \frac{13}{12} = 1\frac{1}{12} $$
Multiplication**:
$$ \frac{2}{5} \times \frac{3}{4} = \frac{6}{20} = \frac{3}{10} $$
Division**:
$$ \frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8} = 1\frac{7}{8} $$
✅ Pro Tip**: Always simplify *after* operations — not before (e.g., 2/5 × 15/16 = 30/80 = 3/8, not 2/5 × 15/16 = 2/1 × 3/16 = 6/16 = 3/8).
⚠️ Avoid these errors:
- Adding numerators & denominators** — ½ + ⅓ ≠ 2/4; must use LCD
- Cross-multiplying for addition** — Only for comparison (a/b vs. c/d)
- Ignoring signs** — −¾ + ½ = −¼ (not +¼)
- Mixed number arithmetic** — 2 ⅓ × 1 ½ = 7/3 × 3/2 = 7/2 = 3 ½ (not 2 3/6)
✅ Real-World Uses**:
- Cooking**: ¾ cup + ⅓ cup = 1 1/12 cups
- Carpentry**: 2¾″ + 5⅝″ = 8 3/8″
- Finance**: 5⅛% = 5.125% APR
| Operation | Input | Result |
|---|---|---|
| Addition | ¾ + ⅓ | 1 1/12 (1.083) |
| Multiplication | ⅔ × ⅘ | 8/15 (0.533) |
| Division | 5/6 ÷ 2/3 | 1 ¼ (1.25) |
| Simplify | 48/72 | ⅔ |
📉 Conversion Quick Reference**:
- ½ = 0.5 = 50%
- ⅓ ≈ 0.333 = 33.3%
- ⅝ = 0.625 = 62.5%
- 2 ⅜ = 19/8 = 2.375 = 237.5%
➡️ Operations
“¾ + ⅓ = ?” → **1 1/12** (with LCD = 12 steps)
➡️ Simplify
“24/36 = ?” → **⅔** (GCF = 12)
➡️ Convert
“0.625 → fraction?” → **⅝**
➡️ Compare
“⅚ vs. ⅞ — which is larger?” → **⅞ > ⅚**
Note: Supports improper, proper, and mixed fractions. Decimals auto-convert to fractions. Negative signs accepted.