Free Fraction Calculator

Use this calculator to perform any fraction operation with full step-by-step working. Perfect for checking your homework, understanding the method, or learning how fraction operations work.

Fraction Calculator

What do you want to do?

+

Add

−

Subtract

×

Multiply

÷

Divide

↓

Simplify

⟷

Convert

First Fraction

+

Second Fraction

CalculateReset

---

How to Use This Calculator

1. Select an operation: Choose from Add, Subtract, Multiply, Divide, Simplify, or Convert
2. Enter your fractions: Use the input fields for whole number, numerator, and denominator
3. Click Calculate: See the answer and complete step-by-step working
4. Learn the method: Study the steps to understand how to solve it yourself

---

Fraction Operations Explained

Adding and Subtracting Fractions

To add or subtract fractions, you need a common denominator.

Same denominator: $\frac{2}{5} + \frac{1}{5} = \frac{2+1}{5} = \frac{3}{5}$

Different denominators: $\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}$

Multiplying Fractions

Multiplication is straightforward: multiply across.

$\frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}$

Dividing Fractions (Keep-Change-Flip)

To divide fractions, use the KCF method:

• Keep the first fraction
• Change ÷ to ×
• Flip the second fraction (reciprocal)

$\frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8} = 1\frac{7}{8}$

Simplifying Fractions

To simplify a fraction, divide both the numerator and denominator by their GCD (Greatest Common Divisor).

$\frac{12}{18} = \frac{12 \div 6}{18 \div 6} = \frac{2}{3}$

A fraction is fully simplified when the GCD of numerator and denominator is 1.

Converting Mixed Numbers and Improper Fractions

Mixed → Improper: Multiply the whole number by the denominator, then add the numerator.

$2\frac{3}{4} = \frac{(2 \times 4) + 3}{4} = \frac{11}{4}$

Improper → Mixed: Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator.

$\frac{11}{4} = 2\frac{3}{4}$ (because 11 ÷ 4 = 2 remainder 3)

---

Common Fraction Mistakes

---

Quick Reference Table

Operation	Method	Example
Add/Subtract	Find common denominator, add/subtract numerators	¹⁄₄ + ²⁄₄ = ³⁄₄
Multiply	Multiply numerators, multiply denominators	²⁄₃ × ³⁄₄ = ⁶⁄₁₂ = ¹⁄₂
Divide	Keep-Change-Flip, then multiply	²⁄₃ ÷ ¹⁄₂ = ²⁄₃ × ²⁄₁ = ⁴⁄₃
Simplify	Divide by GCD	⁸⁄₁₂ = ²⁄₃
Mixed → Improper	(whole × denom) + numer	2¹⁄₄ = ⁹⁄₄
Improper → Mixed	Divide, quotient + remainder	⁷⁄₃ = 2¹⁄₃

---

Fraction Tips for Exams

---

Why Learn Fractions?

Fractions are fundamental to mathematics. You’ll use them in:

• Ratios and proportions (PSLE word problems)
• Algebra (solving equations, simplifying expressions)
• Probability (chances are often expressed as fractions)
• Real life (cooking, measuring, dividing things equally)

Understanding fractions deeply — not just memorizing steps — will help you in more advanced math topics.