This calculator allows you to add, subtract, multiply, and divide fractions. Enter two fractions (like 1/2 and 3/4), choose the operation, and get the simplified result instantly.
Fraction Calculator
Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator.
A fraction represents a part of a whole, consisting of a numerator (top) and a denominator (bottom). For example, in 3/8, 3 is the numerator and 8 is the denominator. If you have a pie cut into 8 slices and eat 3, you've eaten 3/8 of the pie, leaving 5/8.
Fractions must have a common denominator. Multiply numerators and denominators by appropriate values:
a/b + c/d = (a×d + c×b) / (b×d) Example: 3/4 + 1/6 = (3×6 + 1×4) / (4×6) = 22/24 = 11/12
You can also use LCM for simpler results. For example:
1/4 + 1/6 + 1/2 LCM of 4, 6, 2 = 12 = (3 + 2 + 6) / 12 = 11/12
a/b - c/d = (a×d - c×b) / (b×d) Example: 3/4 - 1/6 = (3×6 - 1×4) / (4×6) = 14/24 = 7/12
a/b × c/d = (a×c) / (b×d) Example: 3/4 × 1/6 = 3/24 = 1/8
Multiply by the reciprocal:
a/b ÷ c/d = a/b × d/c = (a×d) / (b×c) Example: 3/4 ÷ 1/6 = 3/4 × 6/1 = 18/4 = 9/2
Reduce fractions by dividing numerator and denominator by the GCF (Greatest Common Factor).
220/440 = 1/2
Convert using powers of 10:
0.1234 = 1234/10000 = 617/5000 (after simplification)
Convert using equivalent fractions or long division:
1/2 = 0.5 (since 1/2 = 5/10) 5/100 = 0.05
A mixed number is a whole number combined with a proper fraction, such as 2 3/4. An improper fraction has a numerator larger than or equal to its denominator, like 11/4. To work with these in calculations, it's often helpful to convert mixed numbers into improper fractions:
2 3/4 = (2×4 + 3)/4 = 11/4 3 5/7 = (3×7 + 5)/7 = 26/7
Now the addition is easier: 11/4 + 26/7 = (11×7 + 26×4)/(4×7) = 77 + 104 / 28 = 181/28 = 6 13/28.
Percentages are often more intuitive than fractions. To convert a fraction to a percentage:
(Fraction) × 100 = Percentage 3/4 × 100 = 75% 1/8 × 100 = 12.5%
This is useful in finance, grades, statistics, and everyday comparisons.
Is 3/4 > 5/7? Cross multiply: 3×7 = 21 5×4 = 20 → 21 > 20, so 3/4 > 5/7
To compare two or more fractions, find a common denominator or use cross multiplication:
Which is greater: 2/5 or 3/8? LCM of 5 and 8 = 40 2/5 = 16/40 3/8 = 15/40 → 2/5 is greater
Example 1: John ate 3/8 of a cake. Sarah ate 1/4 of it. How much cake did they eat together?
3/8 + 1/4 = 3/8 + 2/8 = 5/8 of the cake
Example 2: A worker finishes 2/5 of a task in one hour. How much will be completed in 3 hours?
2/5 × 3 = 6/5 = 1 1/5 tasks completed
Example 3: If you spend 3/10 of your income on rent and 1/5 on groceries, what fraction remains?
3/10 + 1/5 = 3/10 + 2/10 = 5/10 = 1/2 → Half your income remains
Complex Fractions: These are fractions within fractions, such as:
(1/2) / (3/4) = 1/2 × 4/3 = 4/6 = 2/3
Negative Fractions: The negative sign can be placed with the numerator, denominator, or out front. All are equivalent:
-3/4 = 3/–4 = –(3/4)
The Fraction Calculator is a free, user-friendly online tool that helps you add, subtract, multiply, and divide fractions with ease. Whether you’re a student, teacher, engineer, or home cook doubling recipes, this calculator simplifies even the most complex fractional math problems into accurate results. It’s an essential utility for anyone who deals with fractions in schoolwork, budgeting, measurements, or real-world calculations.
A fraction is a number that represents a part of a whole. It is written as two numbers separated by a slash: numerator/denominator. The numerator is the top number, which tells how many parts you have. The denominator is the bottom number, which tells how many equal parts the whole is divided into.
Example: In the fraction 3/4, the 3 is the numerator and the 4 is the denominator. This means 3 parts out of 4 equal parts.
This calculator allows you to perform the following operations:
The tool automatically simplifies the answer to its lowest terms and displays any intermediate steps.
To add fractions:
Example: 1/4 + 1/2 = (1×2 + 1×1) / 4×2 = (2 + 1) / 8 = 3/8
Same method as addition, but subtract the numerators instead.
Example: 5/6 - 1/3 = Convert to same denominator → (5/6 - 2/6) = 3/6 = 1/2
Simply multiply the numerators and denominators directly.
Example: 2/5 × 3/4 = (2×3)/(5×4) = 6/20 = 3/10
Flip the second fraction and multiply.
Example: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8 = 1 7/8
Mixed to Improper:
Multiply the whole number by the denominator, then add the numerator.
Example: 2 1/3 = (2×3 + 1)/3 = 7/3
Improper to Mixed:
Divide numerator by denominator and express the remainder as a fraction.
Example: 9/4 = 2 1/4
To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).
Example: 12/16 → GCD is 4 → 12÷4 = 3, 16÷4 = 4 → Simplified = 3/4
Divide the numerator by the denominator to get the decimal form.
Example: 3/4 = 0.75
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.333 |
| 2/3 | 0.666 |
| 1/4 | 0.25 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
Yes, the calculator supports mixed numbers and converts them as needed.
Absolutely! The calculator automatically reduces your result to the lowest terms.
Yes, some modes show intermediate steps to help students understand the solution.
Yes, our fraction calculator is completely free to use online, anytime, anywhere.
Yes, you can enter decimals and convert them to fractional form with a single click.
Fractions are a fundamental part of math, appearing in everything from grocery bills to science labs. With our online Fraction Calculator, you don’t need to struggle with finding common denominators or converting mixed numbers. The tool offers a quick, reliable, and educational solution for all fraction operations. Whether you're adding 2/3 and 3/4 or dividing mixed numbers, this calculator makes it fast, easy, and accurate.
Try the Fraction Calculator now and simplify your math problems in seconds!