Fraction addition calculator Mathematics

Adding fractions

Instant solution of simple and mixed fractions

First fraction
+
Second fraction
Fill in the numerators and denominators of the fractions
to get a step-by-step solution
Answer:
—

Fraction addition calculator

➕ Quick addition of fractions with solution

Adding fractions is one of the most common problems in arithmetic. Our calculator does this instantly, showing you every step, from finding the common denominator to cutting the result.

🚀 What the tool can do:
Больше по теме: Fraction calculator (with solution)
Fractions ⅕Need to multiply fractions, but are not sure of the result? Our online fraction multiplying calculator will instantly perform the operation on any fraction, mixed, integer or negative fraction - and show a complete step-by-step solution.
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Fractions🔢 How to understand which fraction is larger? Our calculator does what math teachers demand: it doesn’t just put a “>” or “

🔍 How it works (Step-by-step algorithm)

So that you not only receive an answer, but also understand the logic, the system performs the following actions:

  1. Conversion:If mixed numbers are entered, they are converted to improper fractions.
  2. Common denominator: Find the least common multiple (LCM).
  3. Addition:The numerators are added, but the denominator remains common.
  4. Simplification: The result is reduced if the numerator and denominator are divided by the same numbers.

Where is this useful in life?

Fractions surround us everywhere, even if we don't notice it. Here are real examples:

🍰 Cooking

The recipe calls for 1 1/2 cups of flour, but you want to add another 2/3 cup? The calculator will tell you exactly how much it will be together (2 1/6) so as not to spoil the dough.

🔨 Repair and construction

Do you need to join two pieces of plinth 3/4 meter and 1/2 meter long? Accurate calculation is important down to the millimeter.

💸 Finance

Planning a budget? For example, 1/5 of salary goes to food, and 3/10 goes to loans. By adding the fractions, you will understand what part of the income is already taken (1/2 or 50%).

⏱️ Time management

If the task took 1/4 hour, and the break took 1/6 hour, how much time passed in total? An easy way to control your timing.

Frequently asked questions (FAQ)

🔹 How to enter a negative fraction?

Simply place a minus sign in front of the whole part or before the numerator. For example: -1 2/3 or -5/6. The calculator will correctly process the signs according to the rules of mathematics.

🔹 Why can’t you just add the numerators and denominators?

This is the most common mistake! You cannot add 1/2 + 1/3 as 2/5. Fractions are parts of a whole. To add them up, you must first bring them to the “same parts” (common denominator).

🔹 Are decimals supported?

This tool is designed specifically for fractions. If you have a number like 0.5, it is better to write it as 1/2, or use our universal calculator.

Calculators