How do I add fractions with different denominators?

Find the Least Common Denominator (LCD) of both fractions, convert each fraction to have the LCD as its denominator, then add the numerators. For example: 1/2 + 1/3 → 3/6 + 2/6 = 5/6. The LCD of 2 and 3 is 6.

How do I multiply fractions?

Multiply the numerators together and multiply the denominators together. For example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. You can simplify before or after multiplying.

How do I divide fractions?

Flip the second fraction (take its reciprocal) and multiply. For example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. Remember: Keep, Change, Flip.

How do I simplify fractions?

Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. For example: 12/18 → GCD is 6 → 12÷6/18÷6 = 2/3.

How do I convert a fraction to a decimal?

Divide the numerator by the denominator. For example: 3/4 = 3 ÷ 4 = 0.75. Some fractions create repeating decimals, like 1/3 = 0.333...

How do I convert a decimal to a fraction?

Write the decimal over a power of 10 based on decimal places, then simplify. For example: 0.75 = 75/100 = 3/4. For repeating decimals, use algebraic methods.

What's the difference between mixed numbers and improper fractions?

A mixed number has a whole part and fraction (2 1/3). An improper fraction has a numerator larger than the denominator (7/3). To convert: 2 1/3 = (2×3+1)/3 = 7/3.

How do I convert a fraction to a percentage?

Divide the numerator by the denominator, then multiply by 100. For example: 3/4 = 0.75 × 100 = 75%. Or use: (numerator/denominator) × 100%.

How do I work with mixed numbers?

Convert mixed numbers to improper fractions first, perform the operation, then convert back if needed. Example: 1 1/2 + 2 1/3 = 3/2 + 7/3 = 9/6 + 14/6 = 23/6 = 3 5/6.

What is the LCD and how do I find it?

LCD (Least Common Denominator) is the smallest number divisible by all denominators. Find it by listing multiples or using LCM. For 4 and 6: multiples of 4 (4,8,12...), multiples of 6 (6,12...) → LCD = 12.

Fraction Calculator

Our free fraction calculator helps you solve any fraction problem with detailed step-by-step explanations. Whether you need to add fractions with different denominators, convert mixed numbers, or simplify complex fractions, this calculator shows you exactly how it's done.

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First Fraction

Second Fraction

Result

Visual Comparison

1/2

50%

1/3

33%

5/6

83%

Quick:

Input Values

Operation Type

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auto_awesome AI Analysis

Result: 1/2 + 2/3 = 7/6 = 1 1/6

Steps: Find LCD (6), convert to 3/6 + 4/6 = 7/6
Mixed number: 1 1/6 (one whole and one-sixth)
Decimal: ≈ 1.167

Tip: When adding fractions, always find the Least Common Denominator first. For 2 and 3, LCD = 6.

lightbulb Tips

•Results are automatically simplified
•Visual pie charts show proportions

How to Use This Calculator

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Choose Operation

Select arithmetic, simplify, convert, or compare fractions.

edit

Enter Fractions

Input numerators and denominators. Add whole numbers for mixed fractions.

calculate

Calculate

Click calculate to see results with step-by-step explanation.

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View Results

See simplified fraction, decimal, percentage, and detailed steps.

The Formula

To add or subtract fractions, find a common denominator, adjust numerators accordingly, then combine. Multiply by multiplying numerators and denominators. Divide by multiplying by the reciprocal.

a/b ± c/d = (ad ± bc) / bd

lightbulb Variables Explained

a, c Numerators of the fractions
b, d Denominators of the fractions
± Addition or subtraction operation

tips_and_updates Pro Tips

Find the LCD (Least Common Denominator) for adding/subtracting

Multiply straight across: (a/b) × (c/d) = ac/bd

Divide by flipping the second fraction and multiplying

Always simplify your final answer by finding the GCD

Convert mixed numbers to improper fractions first

To convert to decimal, divide numerator by denominator

Fraction Calculator - Solve Any Fraction Problem

Calculate fractions with ease using our free online fraction calculator. Add, subtract, multiply, divide fractions, simplify, and convert between fractions, decimals, and percentages with step-by-step solutions.

Adding and Subtracting Fractions

To add or subtract fractions, find the Least Common Denominator (LCD), convert fractions to equivalent fractions with the LCD, then add or subtract numerators. Our calculator handles this automatically and shows each step.

Multiplying and Dividing Fractions

Multiply fractions by multiplying numerators together and denominators together. Divide by flipping the second fraction and multiplying. Remember: Keep, Change, Flip for division.

Simplifying Fractions

Simplify fractions by finding the Greatest Common Divisor (GCD) of numerator and denominator, then dividing both by it. A fraction is fully simplified when GCD equals 1.

Converting Fractions

Convert fractions to decimals by dividing. Convert decimals to fractions by placing over powers of 10. Convert to percentages by multiplying by 100. Our converter handles all these transformations.

Mixed Numbers and Improper Fractions

Mixed numbers combine whole numbers with fractions (2 1/2). Improper fractions have numerators larger than denominators (5/2). Convert between them easily with our calculator.

Step-by-Step Solutions

Every calculation shows detailed steps so you can learn the process. Perfect for students learning fraction arithmetic or anyone who wants to understand the math behind the answer.

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