Fraction Calculator

1. Enter fractions in the input fields.
2. If you need more terms for calculation, add them.
3. Calculation history will be displayed. Click to copy the formula and result.

Step 1: Check Initial Values

When opening the page, "3/4" and "1/6" are pre-filled. Operators and delete buttons are not displayed initially.

Step 2: Adding Additional Terms

Click the "+ Add Term" button to add a new input row.

• Each row shows "operator + input field + delete button".
• Select an operator and enter a value.
• Use the "Delete" button to remove unwanted rows.

Step 3: Entering Values

Accepted input formats:

• Whole numbers (e.g., 2, -5)
• Fractions (e.g., 3/4, -2/5)
• Mixed numbers (e.g., 1 3/4, -2 1/2)

Negative numbers are also supported.

Step 4: Perform Calculation

Click "Calculate" when you have two or more terms entered.

Step 5: View Results

Results will be displayed in three formats (simplified fraction, mixed number, decimal).
The calculation will also be added to history - click any entry to copy it to clipboard.

Step 6: Reset

Click "Clear" to reset to initial state ("3/4" and "1/6").

Example: Using Negative Numbers

1. Click "Clear" to reset
2. Change "3/4" to "-1/2"
3. Click "+ Add Term" and enter "3/4" with + operator
4. Add another term with − operator and "2/3"
5. Click "Calculate" to see results

1. Addition and Subtraction (a/b ± c/d)

1. Find common denominator: Determine LCM of b and d, adjust numerators
2. Add/subtract numerators: a'/lcm ± c'/lcm = (a' ± c') / lcm
3. Simplify: Divide by GCD of numerator and denominator

Example: 2/3 + 1/4 → LCM(3,4)=12 → 8/12 + 3/12 = 11/12

2. Multiplication and Division

Multiplication (a/b × c/d)

1. Multiply numerators and denominators: (a × c) / (b × d)
2. Simplify the result

Example: 2/3 × 4/5 = 8/15

Division (a/b ÷ c/d)

1. Multiply by reciprocal: a/b × d/c
2. Follow multiplication steps
3. Simplify

Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6

3. Converting Between Mixed Numbers and Improper Fractions

• Improper → Mixed: Divide numerator by denominator for whole number part
• Mixed → Improper: (Whole number × denominator + numerator) / denominator

Example: 1 3/4 = (1×4 + 3) / 4 = 7/4, 7/4 = 1 3/4

4. Handling Negative Signs

Negative fractions should have the minus sign on the numerator, keeping denominator positive.

5. Simplifying Fractions

Divide numerator and denominator by their GCD to get simplest form.

Example: 6/8 → 6÷2／8÷2 = 3/4

Quick Reference Guide