Universal Calculator
TAIIR

Fraction Calculator

Add, subtract, multiply and divide fractions and mixed numbers with step‑by‑step solutions. Simplify and convert fractions instantly.

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Mastering Fractions: Complete Guide

Fractions represent parts of a whole and are essential in everyday mathematics, from cooking measurements to financial calculations. This Professional Fraction Calculator handles all basic arithmetic operations (addition, subtraction, multiplication, division) with fractions and mixed numbers. It automatically simplifies results and provides step‑by‑step explanations.

Adding and Subtracting Fractions

To add or subtract fractions, they must share a common denominator. The calculator finds the least common denominator (LCD), converts each fraction, performs the operation, and simplifies the result. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

💡 Mixed Numbers

A mixed number like 2¾ combines a whole number and a fraction. Toggle "Mixed Numbers" to enter whole parts. Internally, it converts to an improper fraction (e.g., 2¾ = 11/4) before calculation.

Multiplying and Dividing Fractions

Multiplication: multiply numerators and denominators directly. Example: 2/3 × 3/4 = 6/12 = 1/2.
Division: multiply by the reciprocal of the second fraction. Example: 2/3 ÷ 3/4 = 2/3 × 4/3 = 8/9.

Simplifying Fractions

To reduce a fraction to lowest terms, divide both numerator and denominator by their greatest common divisor (GCD). For 12/18, GCD(12,18)=6, so 12/18 = 2/3. The Simplify tab performs this instantly.

Converting Between Fractions and Decimals

Fraction to decimal: divide numerator by denominator (3/8 = 0.375). Decimal to fraction: write the decimal over a power of 10 and simplify (0.75 = 75/100 = 3/4).

Frequently Asked Questions

How do I find a common denominator?

Multiply the denominators together, or find the least common multiple (LCM). The calculator uses the LCM for efficiency.

What is an improper fraction?

A fraction where the numerator is greater than or equal to the denominator, e.g., 7/4. It can be converted to a mixed number (1¾).

How do I simplify complex fractions?

A complex fraction has a fraction in the numerator or denominator. Simplify by dividing, or use our Arithmetic tab with division.

Can I enter negative fractions?

Yes, simply include a minus sign in the numerator or whole part. The calculator handles negative numbers correctly.