Fraction Calculator – Add, Subtract, Multiply and Divide
Add, subtract, multiply, or divide any two fractions. Shows step-by-step working and simplifies the result to lowest terms.
📊 Math📐 a/b ÷ c/d = a×d / b×c | a/b + c/d = (a×d + b×c) / b×d
Numerator 1
Denominator 1
Numerator 2
Denominator 2
Operation
Please enter valid values.
Formula & Reference
| Variable | Formula | Units |
|---|---|---|
| Fraction Calculator – Add, Subtract, Multiply and Divide | a/b ÷ c/d = a×d / b×c | a/b + c/d = (a×d + b×c) / b×d | fraction |
Step-by-Step Examples
Example 1
Add 3/4 + 1/3
3/4 + 1/3.
- = (3×3 + 1×4)/(4×3) = (9+4)/12 = 13/12
- = 1 1/12
✓ 13/12 = 1 1/12
Example 2
Multiply 2/5 × 3/4
2/5 × 3/4 = 6/20 = 3/10.
- Multiply numerators: 2×3=6
- Multiply denominators: 5×4=20 | Simplify: 3/10
✓ 3/10
Example 3
Divide 5/6 ÷ 2/3
5/6 ÷ 2/3 = 5/6 × 3/2 = 15/12 = 5/4.
- = 1 1/4 = 1.25
✓ 5/4 = 1.25
Real-World Applications
Students
Add, subtract, multiply, and divide fractions step by step.
Teachers
Show fraction arithmetic clearly.
Cooks
Scale recipe fractions precisely.
Finance
Work with fractional shares and rates.
Common Mistakes to Avoid
⚠️
Not finding common denominator for addition
You can only add/subtract fractions with the same denominator. Cross-multiply to find the common denominator: a/b + c/d = (a×d + b×c) / (b×d).
⚠️
Forgetting to simplify the result
Always reduce fractions to lowest terms by dividing numerator and denominator by their GCF.
Frequently Asked Questions
How to add fractions? ▾
Find common denominator (multiply the two denominators). Convert each fraction. Add numerators. Simplify. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How to multiply fractions? ▾
Multiply numerators together, multiply denominators together, then simplify. 2/3 × 3/5 = 6/15 = 2/5.
How to divide fractions? ▾
Flip the second fraction (reciprocal) and multiply. 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.
Related Calculators
Formula Explorer connections
Interpretation: This relationship converts, summarizes or checks numerical quantities using standard arithmetic and measurement rules. Assumption: Use consistent units, preserve enough significant digits, and round only the final result unless the method states otherwise.