Fraction Calculator
Add, subtract, multiply, and divide fractions with ease. Simplify fractions and convert between mixed numbers and improper fractions instantly.
Add Two Fractions
Subtract Two Fractions
Multiply Two Fractions
Divide Two Fractions
Fraction Formulas
Addition
Example: 1/2 + 1/3 = (1×3 + 1×2) / (2×3) = 5/6
Subtraction
Example: 3/4 - 1/2 = (3×2 - 1×4) / (4×2) = 2/8 = 1/4
Multiplication
Example: 2/3 × 3/4 = (2×3) / (3×4) = 6/12 = 1/2
Division
Example: 1/2 ÷ 1/4 = (1×4) / (2×1) = 4/2 = 2
How to Use This Calculator
Choose Calculation Type
Select the tab for the type of percentage calculation you need: Basic Percentage, Percentage Increase, or Percentage Decrease.
Enter Your Values
Input the numbers into the appropriate fields. For basic percentage, enter the percentage and the number. For increase/decrease, enter the original and new values.
Click Calculate
Press the Calculate button to get your result instantly. The calculator will show the answer along with a clear explanation.
Review the Result
Check the calculated result and explanation. Use the Reset button to clear all fields and start a new calculation.
Example Calculations
Recipe Scaling
A recipe calls for 2/3 cup of flour and 1/4 cup of sugar. How much total dry ingredients?
You need 11/12 cup of dry ingredients total.
Construction Measurement
A board is 7/8 inch thick. You need to cut off 1/4 inch. What's the remaining thickness?
The remaining thickness is 5/8 inch.
Fabric Cutting
You have 3/4 yard of fabric and need to cut it into 1/8 yard pieces. How many pieces?
You can cut 6 pieces from the fabric.
Where Fractions Are Used
Cooking & Baking
Scale recipes, adjust ingredient quantities, and convert measurements for perfect culinary results every time.
Construction
Calculate measurements, material quantities, and dimensions accurately for building and woodworking projects.
Education
Learn fraction operations, solve homework problems, and understand fundamental mathematical concepts.
Finance
Calculate portions of investments, split bills fairly, and determine fractional ownership in assets.
Science
Mix chemical solutions, calculate ratios, and perform precise laboratory measurements for experiments.
Arts & Crafts
Measure materials accurately, scale patterns proportionally, and calculate dimensions for creative projects.
Frequently Asked Questions
How do you add fractions with different denominators?
To add fractions with different denominators, use the formula: a/b + c/d = (ad + bc) / bd. For example, 1/2 + 1/3 = (1×3 + 1×2) / (2×3) = 5/6. Then simplify if possible.
How do you simplify fractions?
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). For example, 6/12 can be simplified by dividing both by 6, giving 1/2. Our calculator automatically simplifies results.
How do you multiply fractions?
To multiply fractions, multiply the numerators together and the denominators together: a/b × c/d = (a×c) / (b×d). For example, 2/3 × 3/4 = 6/12 = 1/2 after simplification.
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal of the second: a/b ÷ c/d = a/b × d/c = (a×d) / (b×c). For example, 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2.
What is an improper fraction?
An improper fraction is a fraction where the numerator is greater than or equal to the denominator, like 7/4 or 5/5. It can be converted to a mixed number (1 3/4) or left as is for calculations.
Can fractions be negative?
Yes, fractions can be negative. The negative sign can be placed in the numerator, denominator, or in front of the fraction. For example, -1/2, 1/-2, and -(1/2) all represent the same negative fraction.