Fraction Calculator - Arabic Numerals
Perform arithmetic operations with fractions with Arabic numeral system support.
About This Numeral System
The Arabic numeral system on this calculator uses Eastern Arabic-Indic digits (٠ through ٩), which are used across the Arab world — including Egypt, Saudi Arabia, the UAE, Iraq, Jordan, Syria, and other Arabic-speaking countries. These are distinct from the Western Arabic numerals (0–9) that most of the world uses today, which were originally derived from this system. If you read and write numbers in Arabic, this calculator displays results in the digits you use daily.
A free online fraction calculator that adds, subtracts, multiplies, and divides fractions with automatic simplification. Enter fractions like 1/3 + 1/4 and the calculator finds the least common denominator, converts both fractions, adds them, and simplifies the result to lowest terms. Supports mixed numbers (2 1/3 + 1 1/2), decimal-to-fraction conversion (including repeating decimals like 0.333... = 1/3), and simplification of any fraction. Each operation shows the step-by-step work — the LCD, the converted fractions, and the final simplified result — making it ideal for students learning fraction arithmetic.
How This Calculator Works
Fraction Arithmetic: a/b + c/d = (a×d + b×c) / (b×d), then simplify by GCD
Fraction addition and subtraction require a common denominator, found by multiplying the denominators. The numerators are then combined and the result is simplified by dividing both numerator and denominator by their Greatest Common Divisor (GCD). Multiplication multiplies numerators and denominators directly. Division inverts the second fraction and multiplies.
Frequently Asked Questions
How do I add fractions with different denominators?
Enter both fractions in the calculator (e.g., 1/3 + 1/4). The calculator automatically finds the least common denominator (LCD), converts both fractions, and adds them. For 1/3 + 1/4, the LCD is 12, so it becomes 4/12 + 3/12 = 7/12.
How do I convert a repeating decimal to a fraction?
For a repeating decimal like 0.333..., enter it as a decimal in the Decimal to Fraction mode. The calculator recognises the repeating pattern and converts it to 1/3. For 0.142857142857..., the result is 1/7. This works because any repeating decimal is a rational number — the repeating block encodes the denominator.
Can the calculator simplify fractions automatically?
Yes! The calculator automatically simplifies all results to their lowest terms. For example, 6/8 is automatically simplified to 3/4. You can also use the "Simplify Fraction" mode to simplify any fraction directly.
How do I work with mixed numbers?
Use the "Mixed Numbers" mode to perform operations with mixed numbers (e.g., 2 1/3 + 1 1/2). Enter the whole number and fraction parts separately. The calculator handles the conversion and provides results in mixed number format.
How does fraction multiplication work?
To multiply fractions, multiply the numerators together and the denominators together. For example, 2/3 × 3/4 = (2×3)/(3×4) = 6/12, which simplifies to 1/2. The calculator performs this automatically.
How do I divide fractions?
To divide fractions, multiply the first fraction by the reciprocal of the second. For example, 1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2. Simply enter both fractions and select the division operation, and the calculator handles the rest.
Are these the same numerals used in Iran and Afghanistan?
No. Iran and Afghanistan use Persian (Farsi) numerals (۰–۹), which look similar but have different glyph forms for 4, 5, and 6. This calculator has a separate Persian numeral mode for those digits.
Worked Examples
Input: 1/3 + 1/4
Result: LCD = 12. 4/12 + 3/12 = 7/12. Already in lowest terms.
Input: 2 1/3 × 1 1/2
Result: Convert: 7/3 × 3/2 = 21/6 = 7/2 = 3 1/2
Key Features
- Add, subtract, multiply, divide fractions
- Mixed number support
- Automatic simplification
- Decimal-to-fraction conversion
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