Fraction Calculator for Practice and Tests
Check your fraction results: addition, subtraction, multiplication, division, simplification and decimal conversion. Ideal for grades 4-9 and high school — use the tool to verify your calculations, then ask your question on Math AI for a step-by-step explanation.
Basic Operations
=?
Example: 1/2 + 1/4 = 3/4
Simplification
=
?
Example: 21/98 = 3/14
Decimal to Fraction
=
?
Example: 1.375 = 11/8
Fraction to Decimal
=
?
Large Fraction Calculator
Use this calculator if the numerators or denominators are very large integers.
=?
Complete Fraction Guide
This calculator offers addition, subtraction, multiplication, division, simplification, mixed numbers and decimal conversion. Use it to quickly verify your results.
Basic Rules
- Addition/Subtraction: same denominator, then add/subtract numerators.
- Different denominators: find LCM for a common denominator.
- Multiplication: numerator times numerator, denominator times denominator.
- Division: multiply by the reciprocal of the second fraction.
- Simplify: divide by GCD.
Useful Conversions
- Fraction → Decimal: numerator ÷ denominator.
- Decimal → Fraction: write as power of ten, then simplify.
- Mixed number: 2 3/4 = (2 × 4 + 3) / 4 = 11/4.
Examples
8/3 + 2/3 = 10/3.
7/3 + 2/5 → LCM 15 → 35/15 + 6/15 = 41/15.
12/18 = 2/3 (GCD 6).
3/4 = 0.75.
2 1/2 = 5/2.
Common Errors
- Adding denominators instead of finding common denominator.
- Not simplifying the final result.
- Confusing numerator and denominator in conversions.
Applications
- Recipes (1/2, 3/4, etc.).
- Measurements in geometry (parts of a length or area).
- Proportionality and sharing.
FAQ
- Wrong result? Check common denominator and simplification.
- Mixed numbers? Use format "2 3/4".
- Need an explanation? The Math AI assistant can explain each step.