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Fraction Calculator

One tool, 5 calculators: add, subtract, multiply, or divide fractions, simplify any fraction, convert fractions to decimals and back, and switch between mixed numbers and improper fractions.

5
Calculators in One
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100%
Free & Accurate

Why Use This Fraction Calculator?

  • ✓ Covers every common fraction problem in one place.
  • ✓ Automatically simplifies every result to its lowest terms.
  • ✓ Step-by-step formulas, worked examples, and a quick reference table included.

On This Page

Fraction Calculator Quick Reference Table Fraction Formulas Worked Examples Best Practices FAQs Related Calculators

Fraction Calculator

Add, subtract, multiply or divide two fractions

Use this for recipe scaling, construction measurements, homework, and any calculation involving two fractions.

Result
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Enter both fractions to begin.

Simplify a fraction to lowest terms

Use this to reduce any fraction to its simplest, lowest-terms form.

Result
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Enter a numerator and denominator to begin.

Convert a fraction to a decimal

Use this to convert measurements or scores from fraction form into decimal form.

Result
0.375

Enter a numerator and denominator to begin.

Convert a decimal to a fraction

Use this to turn a decimal measurement, price, or score into a simplified fraction.

Result
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Enter a decimal to begin.

Convert mixed numbers and improper fractions

Leave whole number as 0 to convert an improper fraction into a mixed number. Enter a whole number to convert a mixed number into an improper fraction.

Result
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Enter values to begin.

Quick Fraction-to-Decimal Reference

Fraction Decimal Fraction Decimal

Fraction Formulas

Add / Subtract

a/b ± c/d = (a×d ± c×b) ÷ (b×d)

Multiply

a/b × c/d = (a×c) ÷ (b×d)

Divide

a/b ÷ c/d = (a×d) ÷ (b×c)

Simplify

a/b = (a ÷ GCD) ÷ (b ÷ GCD)

Fraction → Decimal

Decimal = Numerator ÷ Denominator

Mixed → Improper

Numerator = (Whole × Denominator) + Numerator

Worked Examples

Example 1 — Add 1/2 and 1/3

(1×3 + 1×2) ÷ (2×3) = 5/6 = 5/6

Example 2 — Divide 3/4 by 2/5

(3×5) ÷ (4×2) = 15/8 = 1 7/8

Example 3 — Simplify 18/24

GCD(18, 24) = 6 → 18÷6 / 24÷6 = 3/4

Example 4 — Convert 0.625 to a fraction

625/1000 simplified = 5/8

Example 5 — Convert 2 3/4 to an improper fraction

(2×4 + 3) ÷ 4 = 11/4

Where Fraction Calculations Are Used

🍳 Cooking & Baking

Scale recipe ingredients up or down and combine measurements like cups and teaspoons.

📐 Construction & Carpentry

Add and subtract inch fractions for cutting lumber, pipes, and building materials.

🎓 School & Homework

Solve arithmetic, algebra, and word problems involving fractions and mixed numbers.

💰 Finance

Work with stock prices, interest rates, and ratios expressed as fractions.

🧪 Science & Engineering

Convert between fractional and decimal measurements in lab and design work.

🧵 Crafts & Sewing

Combine fabric or pattern measurements given in fractional inches.

Best Practices & Common Mistakes

✅ Best Practices

  • Always find a common denominator before adding or subtracting.
  • Simplify your final answer to its lowest terms.
  • Convert mixed numbers to improper fractions before multiplying or dividing.
  • Double-check that no denominator is zero.
  • Keep negative signs in the numerator for clarity.

❌ Common Mistakes

  • Adding numerators and denominators directly without a common denominator.
  • Forgetting to flip the second fraction when dividing.
  • Leaving the answer unsimplified.
  • Mixing up the numerator and denominator when converting decimals.
  • Ignoring the whole number when converting mixed numbers.

Frequently Asked Questions

Find a common denominator, convert both fractions to that denominator, then add the numerators. Simplify the result if possible.
Multiply the first fraction by the reciprocal (flipped version) of the second fraction, then simplify the result.
Divide both the numerator and denominator by their greatest common divisor (GCD) until no common factor remains.
Write the decimal over a power of 10 that matches its number of decimal places (for example, 0.75 = 75/100), then simplify using the GCD.
A proper fraction has a numerator smaller than its denominator (like 3/4), while an improper fraction has a numerator equal to or larger than its denominator (like 7/4).
Divide the numerator by the denominator. The whole number part is the quotient, and the remainder becomes the new numerator over the same denominator.
Yes. All five calculators use standard fraction arithmetic and automatically reduce every result to its simplest form.

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