Adding Mixed Fractions Calculator

Mixed Fractions Addition:

\[ a\frac{b}{c} + d\frac{e}{f} = (a + d) + \left(\frac{b}{c} + \frac{e}{f}\right) \]

First Whole Number:

First Numerator:

First Denominator:

Second Whole Number:

Second Numerator:

Second Denominator:

Result:

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1. What Are Mixed Fractions?

A mixed fraction (or mixed number) combines a whole number with a proper fraction (where the numerator is less than the denominator). For example, 2½ is a mixed fraction representing 2 + ½.

2. How to Add Mixed Fractions

To add mixed fractions:

\[ a\frac{b}{c} + d\frac{e}{f} = (a + d) + \left(\frac{b}{c} + \frac{e}{f}\right) \]

Steps:

Add the whole number parts
Find a common denominator for the fractional parts
Add the fractions
Simplify the result
Combine the whole number and fractional results

3. Step-by-Step Calculation

Example: 2½ + 1¾

Convert to improper fractions: 5/2 + 7/4
Common denominator: 4
Convert: 10/4 + 7/4 = 17/4
Simplify: 4¼

4. Using the Calculator

Instructions: Enter whole numbers, numerators, and denominators for both mixed fractions. All denominators must be positive integers.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is an improper fraction?
A: The calculator will automatically convert it to a mixed number.

Q2: Can I add more than two fractions?
A: This calculator handles two fractions at a time. For more, add them sequentially.

Q3: What if I enter 0 as a whole number?
A: That's fine - it means you're adding a proper fraction to a mixed number.

Q4: How are negative numbers handled?
A: This calculator currently only accepts positive numbers.

Q5: What's the maximum size for inputs?
A: There's no strict limit, but very large numbers may cause calculation issues.