➗ Fraction Calculator

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Decimal

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Mixed Number

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Simplified

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📝 Step-by-Step Solution

✂️ Fraction Simplifier

Enter a fraction to reduce it to its simplest form.

🔄 Decimal → Fraction

Convert any decimal to a fraction.

⚖️ Compare Two Fractions

Find out which fraction is larger, smaller or equal.

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📋 Common Fractions Reference

Fraction	Simplified	Decimal	Percentage	Notes

📐 Fraction Formulas

Addition & Subtraction

Find the LCM (Least Common Multiple) of denominators, then add/subtract numerators.

a/b + c/d = (a×d + c×b) / (b×d) [then simplify]
a/b − c/d = (a×d − c×b) / (b×d) [then simplify]

Example: 1/2 + 1/3
= (1×3 + 1×2) / (2×3)
= (3 + 2) / 6
= 5/6

Multiplication

Multiply numerators together, multiply denominators together, then simplify.

a/b × c/d = (a×c) / (b×d)

Example: 2/3 × 3/4
= (2×3) / (3×4)
= 6/12 = 1/2

Division

Multiply by the reciprocal (flip the second fraction).

a/b ÷ c/d = a/b × d/c = (a×d) / (b×c)

Example: 1/2 ÷ 1/4
= 1/2 × 4/1
= 4/2 = 2

Simplification (GCD Method)

Divide both numerator and denominator by their Greatest Common Divisor (GCD).

Simplified = (numerator ÷ GCD) / (denominator ÷ GCD)

Example: 12/18
GCD(12,18) = 6
= (12÷6) / (18÷6) = 2/3

GCD (Euclidean Algorithm)

GCD(a, b):
while b ≠ 0:
temp = b
b = a mod b
a = temp
return a

GCD(12, 18):
18 mod 12 = 6 → GCD(12, 6)
12 mod 6 = 0 → GCD(6, 0) = 6

Mixed Number ↔ Improper Fraction

Mixed → Improper: a b/c = (a×c + b) / c
Improper → Mixed: n/d = (n÷d) remainder (n mod d)
= whole (remainder/d)

Example: 2 3/4 = (2×4+3)/4 = 11/4
Example: 11/4 = 2 remainder 3 = 2 3/4

❓ Frequently Asked Questions

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➗ Fraction Calculator