This is a Fraction Calculator that performs all basic arithmetic operations with fractions. It automatically simplifies results to their lowest terms and shows both the fraction and decimal equivalent. Perfect for students, teachers, cooks, DIY projects, or anyone working with fractional values.

Fraction Calculator – Calculate Fractions | TotalCalcPro

➗ Fraction Calculator

Add, subtract, multiply, and divide fractions

Enter Your Fractions

Fraction Calculator – User Guide

What It Does

This is a Fraction Calculator that performs all basic arithmetic operations with fractions. It automatically simplifies results to their lowest terms and shows both the fraction and decimal equivalent. Perfect for students, teachers, cooks, DIY projects, or anyone working with fractional values.

How to Use

Step 1: Enter First Fraction

  1. Numerator (Top Number): Enter the top part of the first fraction
    • Example: For 1/2, enter 1
  2. Denominator (Bottom Number): Enter the bottom part of the first fraction
    • Example: For 1/2, enter 2
    • ⚠️ Cannot be zero

Step 2: Choose Operation

  1. Select the mathematical operation using either:
    • Dropdown Menu: Click and select from +, −, ×, ÷
    • Operator Buttons: Click one of the four buttons below the fractions
      • + (Addition)
      • − (Subtraction)
      • × (Multiplication)
      • ÷ (Division)

Step 3: Enter Second Fraction

  1. Numerator (Top Number): Enter the top part of the second fraction
    • Example: For 1/3, enter 1
  2. Denominator (Bottom Number): Enter the bottom part of the second fraction
    • Example: For 1/3, enter 3
    • ⚠️ Cannot be zero

Step 4: Calculate

  1. Click the Calculate button to see your result
  2. Click the Clear button to reset all fields and start over

Understanding Your Results

Result Fraction Display

  • Shows the simplified fraction in a large, easy-to-read format
  • Numerator (top) and denominator (bottom) separated by a division line
  • Automatically reduced to lowest terms

Decimal Equivalent

  • Shows the approximate decimal value
  • Displayed as “≈ [decimal number].”
  • Helpful for comparing sizes or understanding the practical value

Operation Examples

Addition (1/2 + 1/3)

Input:

  • First Fraction: 1/2
  • Operation: +
  • Second Fraction: 1/3

Result: 5/6 ≈ 0.833333

Subtraction (3/4 − 1/2)

Input:

  • First Fraction: 3/4
  • Operation: −
  • Second Fraction: 1/2

Result: 1/4 ≈ 0.250000

Multiplication (2/3 × 3/4)

Input:

  • First Fraction: 2/3
  • Operation: ×
  • Second Fraction: 3/4

Result: 1/2 ≈ 0.500000

Division (1/2 ÷ 1/4)

Input:

  • First Fraction: 1/2
  • Operation: ÷
  • Second Fraction: 1/4

Result: 2/1 (or just 2) ≈ 2.000000

How It Works

Addition & Subtraction

  1. Finds common denominator (multiplies denominators)
  2. Adjusts numerators accordingly
  3. Performs the operation
  4. Simplifies the result

Multiplication

  1. Multiplies numerators together
  2. Multiply the denominators together
  3. Simplifies the result

Division

  1. Flips the second fraction (reciprocal)
  2. Multiplies the fractions
  3. Simplifies the result

Automatic Simplification

The calculator uses the GCD (Greatest Common Divisor) method to reduce fractions to their simplest form.

Important Rules

✅ Denominators cannot be zero – Division by zero is undefined
✅ Cannot divide by zero – The numerator of the second fraction cannot be 0 when dividing
✅ Negative fractions allowed – You can enter negative numbers
✅ Mixed numbers – Enter as improper fractions (e.g., 1½ = 3/2)
✅ Whole numbers – Enter as fractions with denominator 1 (e.g., 5 = 5/1)

Common Use Cases

🍳 Cooking & Recipes – Adjusting ingredient measurements
📐 Math Homework – Solving fraction problems
🔧 Construction/DIY – Working with measurements
📊 Financial Calculations – Splitting costs or portions
🎓 Teaching – Demonstrating fraction operations

Quick Tips

  1. Default Values: If you leave a field empty, it defaults to 0 for numerators and 1 for denominators
  2. Visual Feedback: The selected operation button is highlighted in purple
  3. Instant Results: Results appear immediately when you click Calculate
  4. Easy Reset: The Clear button resets everything in one click

This calculator makes working with fractions quick, accurate, and easy to understand!

Related Calculator

How do you add fractions with different denominators?

To add fractions with different denominators, first find the least common denominator (LCD). Convert each fraction to an equivalent fraction with the LCD, then add the numerators while keeping the denominator the same. Finally, simplify the result if possible.

How do you multiply fractions?

To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. For example, 1/2 × 3/4 = (1×3)/(2×4) = 3/8. Simplify the result if needed.

How do you divide fractions?

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal is obtained by flipping the numerator and denominator. For example, 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3.

How do you subtract fractions?

To subtract fractions, find a common denominator (preferably the LCD), convert both fractions to equivalent fractions with this denominator, then subtract the numerators while keeping the denominator the same. Simplify the result if possible.

What is a mixed number, and how do I convert it to an improper fraction?

A mixed number consists of a whole number and a fraction (e.g., 2 1/3). To convert to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 1/3 = (2×3+1)/3 = 7/3.

How do you simplify fractions?

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). Continue until no common factors remain except 1. For example, 12/16 can be simplified by dividing both by 4 to get 3/4.

Can this calculator handle mixed numbers?

Yes, the fraction calculator can handle mixed numbers. You can input mixed numbers and perform all operations including addition, subtraction, multiplication, and division. The calculator will convert them as needed and provide results in both improper fraction and mixed number formats.

What is the least common denominator (LCD)?

The least common denominator (LCD) is the smallest number that is a multiple of all the denominators in a set of fractions. It is used when adding or subtracting fractions with different denominators to convert them to equivalent fractions with the same denominator.

How do you convert an improper fraction to a mixed number?

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, the remainder becomes the new numerator, and the denominator stays the same. For example, 7/3 = 2 with remainder 1, so 7/3 = 2 1/3.

Is this fraction calculator free to use?

Yes, this fraction calculator is completely free to use. There are no hidden fees, subscriptions, or limitations on the number of calculations you can perform.