Math

Fraction Calculator

Add, subtract, multiply, and divide fractions with step-by-step solutions. Supports mixed numbers, visual fraction bars, and recipe scaling.

Quick Answer

To add or subtract fractions, find a common denominator, then add or subtract the numerators. To multiply fractions, multiply numerators together and denominators together (e.g., 2/3 × 3/4 = 6/12 = 1/2). To divide fractions, multiply by the reciprocal of the divisor. Always simplify by dividing both parts by their greatest common divisor.

Whole
Num
Den
+
Whole
Num
Den
Fraction
5/6
Mixed Number
5/6
Decimal
0.833333
Visual

Step-by-step solution

  1. 1
    Start: 1/2 + 1/3
  2. 2
    Find LCD: LCD of 2 and 3 = 6
  3. 3
    Convert fractions: 1×3/2×3 = 3/6 and 1×2/3×2 = 2/6
  4. 4
    Add numerators: 3 + 2 = 5, so 5/6

About This Tool

The Fraction Calculator is a free online tool that performs addition, subtraction, multiplication, and division on fractions and mixed numbers. Every calculation includes a detailed step-by-step solution, so you can follow along with the math instead of just seeing the answer. This makes it useful for students learning fraction arithmetic, parents helping with homework, and anyone who needs a quick, verified result.

The calculator accepts mixed numbers (like 2 3/4) as well as simple fractions (like 3/4). Internally it converts mixed numbers to improper fractions, performs the operation, and then presents the result in three forms: a simplified fraction, a mixed number, and a decimal approximation. The step-by-step display walks you through finding the Least Common Denominator (LCD), converting fractions, performing the arithmetic, and simplifying the final answer using the Greatest Common Divisor (GCD).

Visual fraction bars give you an intuitive, proportional view of each fraction. The colored segments show exactly how much of the whole each fraction represents, making it easier to compare inputs and understand the result at a glance. This is especially helpful for visual learners and younger students.

The Recipe Scalingtab is built for cooks. Enter the original recipe fraction (e.g., 3/4 cup of flour) and choose a scale factor — double, triple, half, or any custom multiplier. The calculator instantly shows the new amount as a fraction, mixed number, and decimal, so you know exactly how much to measure. Common cooking fractions like 1/4, 1/3, 1/2, 2/3, and 3/4 are handled cleanly, with results simplified to the most practical form. All calculations happen in your browser with no data sent anywhere.

Frequently Asked Questions

How do I add fractions with different denominators?
To add fractions with different denominators, first find the Least Common Denominator (LCD) of the two denominators. Multiply each fraction's numerator and denominator so both have the LCD. Then add the numerators and keep the LCD as the denominator. Finally, simplify the result by dividing by the Greatest Common Divisor (GCD).
What is a mixed number and how do I convert it?
A mixed number combines a whole number with a fraction, like 2 3/4. To convert it to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. So 2 3/4 = (2×4 + 3)/4 = 11/4. This calculator handles mixed number inputs automatically.
How do I simplify a fraction?
Find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. For example, 12/18: GCD(12, 18) = 6, so 12/18 = 2/3. Our step-by-step display shows this simplification process for every calculation.
How do I scale a recipe fraction?
Use the Recipe Scaling tab. Enter the original fraction (e.g., 3/4 cup) and choose a scale factor like double, triple, or half. The calculator multiplies the fraction by the scale factor and simplifies the result. For example, doubling 3/4 gives 3/2 or 1 1/2 cups.
What common fractions appear in cooking?
The most common cooking fractions are 1/4, 1/3, 1/2, 2/3, and 3/4. When scaling recipes, you often encounter results like 3/8, 5/6, or 1 1/2. Knowing these equivalents helps: 1/3 ≈ 0.333, 2/3 ≈ 0.667, 1/8 = 0.125. This calculator shows every result as a fraction, mixed number, and decimal.

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