Fraction Calculator

Simplify, add, subtract, multiply, and divide fractions and mixed numbers easily with our powerful fraction calculator. Get instant, step-by-step results, automatic simplifications, and decimal equivalents for every operation.

How It Works

Our online fraction calculator solves fraction problems in three simple steps:

1

Enter Numbers

Type in your fractions, decimals, or mixed numbers. For example:

  • Fraction: 3/4
  • Mixed Number: 2 1/3
  • Whole Number: 5
2

Select Operation

Choose your desired operation:

  • Addition, Subtraction, Multiplication, Division
  • Mixed Number Operations
  • View clear, step-by-step solutions with conversions and simplifications automatically applied.
3

Get Results

Get instant results with detailed steps, including mixed number conversions and simplifications.

Additional Tools

Explore our comprehensive collection of mathematical calculators designed to solve various problems

Understanding the Tools

Master fraction calculations with our comprehensive guide and advanced features

Fraction Fundamentals

A fraction shows parts of a whole, written as a numerator (top) over a denominator (bottom).

  • Proper Fractions: Numerator smaller than denominator (e.g., 3/4)>
  • Improper Fractions: Numerator larger than denominator (e.g., 7/4)
  • Proper Fractions: Numerator smaller than denominator (e.g., 3/4)
  • Mixed Numbers: Combine whole and fractional parts (e.g., 2 1/2)
  • Equivalent Fractions: Represent the same value (e.g., 1/2 = 2/4)

Basic Operations

Addition: 1/4 + 2/4 = 3/4

Subtraction: 3/4 - 1/4 = 2/4 = 1/2

Multiplication: 1/2 × 3/4 = 3/8

Division: 1/2 ÷ 3/4 = 2/3

Mixed Number Operations

Addition: 2 1/4 + 1 3/4 = 4

Subtraction: 3 1/2 - 1 3/4 = 1 3/4

Multiplication: 1 1/2 × 2 1/3 = 3 1/2

Division: 3 1/2 ÷ 1 1/2 = 2 1/3

Converting Mixed Numbers

To improper fraction: Multiply the whole number by the denominator, then add the numerator. Example: 2 3/4 = (2 × 4 + 3)/4 = 11/4

Simplifying Fractions

Divide both numerator and denominator by their greatest common divisor (GCD). Example: 8/12 = 2/3 (GCD = 4) Multiply the whole number by the denominator, then add the numerator. Example: 2 3/4 = (2 × 4 + 3)/4 = 11/4

Decimal Conversions

  • • To convert a fraction to a decimal, divide numerator by denominator: 3/4 = 0.75
  • • To convert a decimal to a fraction, multiply by powers of 10: 0.5 = 1/2

Tips for Mixed Numbers

  • • Always convert to improper fractions first
  • • Perform the operation
  • • Convert back to mixed numbers if needed
  • • Simplify the result

Tips for Working with Fractions

  • • Always simplify final answers.
  • • Keep denominators positive.
  • • Check with decimal equivalents for accuracy.
  • • Convert back to mixed numbers for easier readability.

Common Fraction-Decimal Equivalents

1/2 = 0.5

1/4 = 0.25

3/4 = 0.75

1/3 ≈ 0.333

2/3 ≈ 0.667

1/5 = 0.2

Frequently Asked Questions

Find answers to common questions about our fraction calculator

The fraction calculator lets you add, subtract, multiply, and divide fractions and mixed numbers instantly. It also simplifies results and shows step-by-step solutions for better understanding.

Yes. The mixed fraction calculator supports calculations involving mixed numbers (like 2 ½). It automatically converts them to improper fractions for accurate results, then back to mixed form.

Enter your fraction and choose the “Simplify” option. The calculator divides both numerator and denominator by their greatest common divisor (GCD) to return the fraction in its simplest form.

Use the decimal to fraction calculator function — simply type your decimal (e.g., 0.75), and it will display the equivalent fraction (¾) automatically.

An improper fraction has a numerator larger than its denominator (like 9/4). To convert it to a mixed number, divide the numerator by the denominator — the quotient is the whole number, and the remainder forms the fractional part.

Yes. Enter the whole number as a fraction (e.g., 5/1). The calculator handles multiplication or division with fractions, mixed numbers, and whole numbers seamlessly.

Absolutely. After solving, it displays both the simplified fraction and its decimal equivalent — ideal for quick conversions and checking your work.

Yes. You can use the 3 fraction calculator mode to perform operations with multiple fractions in a single calculation, with automatic simplification at each step.

A proper fraction has a smaller numerator than denominator (e.g., 3/5), while an improper fraction has a larger numerator (e.g., 7/4). Improper fractions can be rewritten as mixed numbers.

Yes. It’s ideal for learning, teaching, and checking math homework. The clear, step-by-step breakdown helps students understand how to simplify, convert, and solve fraction problems easily.