Fraction Calculator - Malayalam Numerals

Perform arithmetic operations with fractions with Malayalam numeral system support.

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.

About This Numeral System

Malayalam numerals (൦ through ൯) are used in the Indian state of Kerala for Malayalam, a Dravidian language spoken by roughly 35 million people. Kerala has the highest literacy rate of any Indian state, and Malayalam numerals are used in education, government, and daily commerce throughout the region. This calculator displays results in Malayalam numerals for users who read and write in Malayalam.

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.

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

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 decimal to a fraction?

Enter a decimal number like 0.75 or 0.333... in the Decimal to Fraction mode. The calculator converts it to the simplest equivalent fraction — 0.75 becomes 3/4, and 0.333... becomes 1/3. For terminating decimals, the conversion is exact. For repeating decimals, the calculator recognises the repeating pattern and finds the matching rational number.

How do I convert a fraction to a decimal?

Enter a fraction like 3/8 and the calculator divides the numerator by the denominator to get the decimal equivalent: 3/8 = 0.375. The result shows both the exact decimal (for terminating fractions) and a rounded approximation for repeating decimals. For example, 1/3 displays as 0.333... with a note that it repeats.

Can the calculator simplify or reduce fractions automatically?

Yes! The calculator automatically simplifies all results to their lowest terms. For example, 6/8 is automatically reduced to 3/4 by dividing both numerator and denominator by their greatest common divisor (GCD). You can also use the "Simplify Fraction" mode to reduce any fraction directly — enter 12/16 and get 3/4.

How do I use the mixed fraction calculator?

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 converts mixed numbers to improper fractions, performs the operation, and provides results in mixed number format. For example, 2 1/3 + 1 1/2 = 3 5/6.

Is this an online fraction calculator?

Yes. This is a free online fraction calculator that runs entirely in your browser with no download or sign-up required. It supports addition, subtraction, multiplication, division, simplification, mixed numbers, and decimal-to-fraction conversion. All calculations happen locally on your device.

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.

Why do some Malayalam numerals look like fractions?

Malayalam numerals have distinctive curved forms that can look unusual to readers of other scripts. The digit for 9 (൯) in particular looks quite different from its counterparts in other South Asian scripts. This is because the Malayalam script evolved from the Grantha script, which was used for writing Sanskrit in South India, giving it unique letterforms compared to the Northern Brahmi-derived scripts.

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