Fraction Calculator

Add, subtract, multiply, and divide fractions with ease

Add Fractions
Subtract Fractions
Multiply Fractions
Divide Fractions
Simplify
Mixed Numbers
Fraction Calculator
Perform arithmetic operations with fractions
Calculate
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Fraction Operation Rules
How to perform basic operations with fractions
Addition

Find common denominator, add numerators

1/4 + 1/3 = 3/12 + 4/12 = 7/12
Subtraction

Find common denominator, subtract numerators

3/4 - 1/2 = 3/4 - 2/4 = 1/4
Multiplication

Multiply numerators, multiply denominators

2/3 × 3/4 = 6/12 = 1/2
Division

Multiply by reciprocal of divisor

1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2
Real-World Examples
Practical applications of fraction calculations

Recipe Scaling

Cooking and baking

Scale recipe from 4 to 6 servings

2/3 cup × 6/4 = 2/3 × 3/2 = 1 cup

Homework Help

Educational

Math assignment problem

5/8 + 3/4 = 5/8 + 6/8 = 11/8 = 1 3/8

Construction

DIY projects

Adding lumber lengths

2 1/4 + 1 3/8 = 9/4 + 11/8 = 18/8 + 11/8 = 29/8 = 3 5/8

Time Calculation

Time management

Adding work periods

1/2 hour + 1/4 hour = 2/4 + 1/4 = 3/4 hour
Types of Fractions
Understanding different fraction formats

Proper Fraction

Numerator is less than denominator

1/2
3/4
5/8
7/9

Improper Fraction

Numerator is greater than denominator

5/4
9/2
11/3
7/2

Mixed Number

Whole number plus a proper fraction

1 1/2
2 3/4
3 2/5
4 1/8

Unit Fraction

Numerator is 1

1/2
1/3
1/4
1/5
Calculator Features

Add Fractions

Add fractions with different denominators

Subtract Fractions

Subtract fractions and mixed numbers

Multiply Fractions

Multiply fractions and whole numbers

Divide Fractions

Divide fractions using reciprocal method

Common Use Cases
  • Cooking and recipe modifications
  • Math homework and educational problems
  • Construction and woodworking measurements
  • Sewing and crafting projects
  • Music theory (note values and timing)
  • Financial calculations (stock prices)
  • Engineering and technical drawings
  • Medication dosage calculations
Simplification Steps
1

Find the Greatest Common Divisor (GCD) of numerator and denominator

2

Divide both numerator and denominator by the GCD

3

The result is the fraction in lowest terms

4

Check if the result can be converted to a mixed number

Quick Tips

Finding Common Denominators

Use the least common multiple (LCM) of the denominators for easier calculations.

Converting Mixed Numbers

To convert: multiply whole number by denominator, add numerator.

Always Simplify

Reduce fractions to lowest terms by dividing by the greatest common divisor.

Understanding Fractions

What Are Fractions?

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). The denominator shows how many equal parts the whole is divided into, while the numerator shows how many of those parts we have.

For example, in the fraction 3/4, the whole is divided into 4 equal parts, and we have 3 of those parts.

Why Learn Fractions?

Fractions are essential in many real-world situations: cooking recipes, construction measurements, time calculations, and financial planning. Understanding fractions helps with problem-solving and mathematical reasoning.

They're also the foundation for more advanced mathematics, including algebra, decimals, percentages, and calculus.