½ Fraction Calculator – Add, Subtract, Multiply, Divide Fractions

Free fraction calculator. Add, subtract, multiply and divide fractions and mixed numbers instantly. Shows step-by-step working. Simplifies fractions automatically and converts between fractions and decimals. Perfect for students from primary school to university.

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Show step-by-step working
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Show step-by-step working

Enter a fraction or mixed number (e.g. 2 4/8) to reduce to lowest terms.

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Simplified
Show step-by-step working
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Fraction

Type any expression mixing decimals and fractions — e.g. 0.75 + 1/2 or 2/3 × 0.5 − 1/4
Supported operators: + − × * ÷ /

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How to Use the Fraction Calculator

Our fraction calculator handles all basic fraction operations. Enter the numerators and denominators, choose your operation, and click Calculate. Results are shown in simplified form with the decimal equivalent and optional step-by-step working.

Adding Fractions

To add fractions, find the least common denominator (LCD). The calculator does this automatically, converts both fractions, then adds the numerators. Example: 1/4 + 1/6 = 3/12 + 2/12 = 5/12.

Subtracting Fractions

Subtraction works like addition — find the LCD, convert, then subtract the numerators. Results are automatically simplified.

Multiplying Fractions

Multiply numerators together and denominators together: (a/b) × (c/d) = (a×c)/(b×d), then simplify.

Dividing Fractions

Dividing by a fraction equals multiplying by its reciprocal: (a/b) ÷ (c/d) = (a/b) × (d/c).

Fraction Calculator – For Students Worldwide

Fractions are taught in schools across every country — from primary school through to GCSE, A-Level, IGCSE, SAT, ACT and university-level maths. Our free fraction calculator handles all the operations you need: adding fractions, subtracting fractions, multiplying fractions and dividing fractions — including mixed numbers and improper fractions.

How to Add Fractions – Quick Reference

To add fractions with different denominators, find the lowest common denominator (LCD), convert both fractions, then add the numerators. For example: ½ + ⅓ → LCD is 6 → 3/6 + 2/6 = 5/6. This calculator does all of that automatically and shows you every step.

Mixed Numbers and Improper Fractions

A mixed number (like 2½) combines a whole number and a fraction. An improper fraction has a numerator larger than the denominator (like 5/2). This calculator accepts both formats and converts between them automatically in the results.

Fraction to Decimal Conversion

Every result is also shown as a decimal equivalent — useful when you need to enter a fraction value into another calculator or compare fractions easily. For example, ¾ = 0.75, ⅓ ≈ 0.333.

Frequently Asked Questions

How do I add fractions with different denominators? +
Find the least common denominator (LCD), rewrite each fraction with that denominator, then add the numerators. Our calculator does this automatically and shows the working.
What is a mixed number? +
A mixed number combines a whole number and a proper fraction, such as 2½ or 3¾. Use the Mixed Numbers tab to calculate with them.
How do I simplify a fraction? +
Divide both numerator and denominator by their greatest common factor (GCF). For example, 12/18 simplifies to 2/3 because the GCF is 6.
Can I convert a decimal to a fraction? +
Yes — use the Decimal tab. Enter any decimal and get the equivalent fraction in its simplest form, or convert any fraction to its decimal equivalent.