Fraction Calculator
Perform basic arithmetic operations with fractions including addition, subtraction, multiplication, and division. Get step-by-step solutions and simplified results.
Fraction Operations
Ready to Calculate
Enter your fractions and click Calculate to see the results
Mixed Numbers Calculator
Ready for Mixed Numbers
Enter your mixed numbers and click Calculate to see the results
Simplify Fractions Calculator
Ready to Simplify
Enter your fraction and click Calculate to see the simplified result
Decimal to Fraction Calculator
Ready to Convert
Enter your decimal and click Calculate to see the fraction result
Fraction to Decimal Calculator
Ready to Convert
Enter your fraction and click Calculate to see the decimal result
Big Number Fraction Calculator
Use this calculator if the numerators or denominators are very big integers.
Ready for Big Numbers
Enter your large numbers and click Calculate to see the results
Understanding Fractions
Fractions represent parts of a whole, written as a ratio of two numbers: the numerator (top number) and denominator (bottom number). The numerator tells us how many parts we have, while the denominator tells us how many equal parts make up the whole.
For example, in the fraction 3/4, we have 3 parts out of 4 equal parts. This means we have three-quarters of something, like three-quarters of a pizza or three-quarters of an hour.
Key Concept:
Fractions can represent any division of a whole into equal parts, making them essential for measuring, comparing quantities, and solving real-world problems.
Basic Fraction Operations
Addition & Subtraction
To add or subtract fractions, they must have the same denominator (common denominator).
Example: 1/4 + 2/4 = 3/4
If denominators differ, find the least common multiple (LCM) first.
Multiplication
Multiply numerators together and denominators together.
Example: 2/3 × 3/4 = (2×3)/(3×4) = 6/12 = 1/2
Always simplify the result to lowest terms.
Division
To divide fractions, multiply by the reciprocal of the second fraction.
Example: 2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3
The reciprocal of a/b is b/a.
Simplification
Reduce fractions to lowest terms by dividing numerator and denominator by their greatest common divisor (GCD).
Example: 8/12 = (8÷4)/(12÷4) = 2/3
This makes fractions easier to work with and compare.
Real-World Applications
Cooking & Recipes
Adjusting recipe portions, measuring ingredients, and scaling up or down for different serving sizes.
Construction & DIY
Measuring materials, calculating areas, determining proportions, and making precise cuts.
Finance & Business
Calculating percentages, interest rates, profit margins, and analyzing financial ratios.
Common Fraction 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
1/8
= 0.125
1/10
= 0.1