Fraction Calculator
Perform fraction arithmetic with our interactive calculator. Get step-by-step solutions, visual diagrams, and results in multiple formats including mixed numbers and decimals.
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Video Guide: Understanding Fraction Operations (Addition, Subtraction, Multiplication, Division)
About Fraction Calculator
Welcome to the Fraction Calculator, a comprehensive free online tool for adding, subtracting, multiplying, and dividing fractions. Whether you are working with proper fractions, improper fractions, or mixed numbers, this calculator provides step-by-step solutions with visual diagrams to help you understand every calculation.
How to Use the Fraction Calculator
- Enter the first fraction: Input the numerator (top number) and denominator (bottom number). For mixed numbers, also enter the whole number part.
- Select the operation: Choose addition (+), subtraction (−), multiplication (×), or division (÷).
- Enter the second fraction: Input the second fraction in the same way.
- Calculate: Click the button to see your result with complete step-by-step explanation.
- Review results: View the answer as a simplified fraction, mixed number, decimal, and percentage.
Fraction Operations Explained
Adding Fractions
To add fractions with the same denominator, simply add the numerators and keep the denominator. For different denominators, first find the Least Common Denominator (LCD), convert each fraction, then add.
Subtracting Fractions
Subtraction works like addition. Find a common denominator if needed, then subtract the numerators while keeping the denominator the same.
Multiplying Fractions
Multiplication is straightforward: multiply the numerators together and multiply the denominators together. Then simplify the result.
Dividing Fractions
To divide fractions, multiply by the reciprocal of the second fraction. Flip the second fraction and multiply.
Types of Fractions
- Proper Fractions: The numerator is smaller than the denominator (e.g., 3/4). These represent values less than 1.
- Improper Fractions: The numerator is equal to or greater than the denominator (e.g., 5/4, 7/3). These represent values of 1 or more.
- Mixed Numbers: A combination of a whole number and a proper fraction (e.g., 1 1/2, 2 3/4).
Converting Between Forms
Mixed Number to Improper Fraction
Multiply the whole number by the denominator, add the numerator, and place over the original denominator:
Improper Fraction to Mixed Number
Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator:
Simplifying Fractions
A fraction is in its simplest form when the numerator and denominator have no common factors other than 1. To simplify, find the Greatest Common Factor (GCF) and divide both numbers by it:
Frequently Asked Questions
How do you add fractions with different denominators?
To add fractions with different denominators: 1) Find the Least Common Denominator (LCD) of both fractions. 2) Convert each fraction to an equivalent fraction with the LCD. 3) Add the numerators while keeping the common denominator. 4) Simplify the result if possible. For example, 1/4 + 1/3 = 3/12 + 4/12 = 7/12.
How do you multiply fractions?
To multiply fractions, simply multiply the numerators together and multiply the denominators together. Then simplify the result if possible. For example, 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2. You can also cross-cancel before multiplying to make the calculation easier.
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal (flipped version) of the second fraction. For example, 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6. Remember: Keep the first fraction, Change to multiplication, Flip the second fraction (KCF method).
What is the difference between proper and improper fractions?
A proper fraction has a numerator smaller than its denominator (e.g., 3/4, representing less than 1 whole). An improper fraction has a numerator equal to or greater than its denominator (e.g., 5/4, representing 1 or more wholes). Improper fractions can be converted to mixed numbers: 5/4 = 1 1/4.
How do you convert a mixed number to an improper fraction?
To convert a mixed number to an improper fraction: 1) Multiply the whole number by the denominator. 2) Add the numerator to that product. 3) Place the result over the original denominator. For example, 2 3/4 = (2×4 + 3)/4 = 11/4.
Additional Resources
Reference this content, page, or tool as:
"Fraction Calculator" at https://MiniWebtool.com/fraction-calculator/ from MiniWebtool, https://MiniWebtool.com/
by miniwebtool team. Updated: Jan 09, 2026
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