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Mixed Fraction Operations Calculator

Mixed Fraction Operations:

\[ a\frac{b}{c} \pm d\frac{e}{f} = \text{Result} \]

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1. What is a Mixed Fraction?

A mixed fraction (also called mixed number) is a combination of a whole number and a proper fraction. It represents the sum of the whole number and the fraction. For example, 2½ means 2 + ½.

2. How to Perform Operations

To perform operations with mixed fractions:

\[ a\frac{b}{c} \pm d\frac{e}{f} \]

Steps:

  1. Convert mixed fractions to improper fractions
  2. Perform the operation on the improper fractions
  3. Simplify the result
  4. Convert back to mixed number if needed

3. Step-by-Step Calculation

Example: 2½ + 1¾

  1. Convert to improper fractions: 5/2 + 7/4
  2. Find common denominator: 10/4 + 7/4
  3. Add numerators: 17/4
  4. Convert to mixed number: 4¼

4. Using the Calculator

Instructions: Enter whole number, numerator and denominator for both fractions, select operation, and click Calculate.

5. Frequently Asked Questions (FAQ)

Q1: Can I enter negative mixed fractions?
A: This calculator only accepts positive values. For negative numbers, use the absolute value and determine the sign separately.

Q2: What if my denominator is zero?
A: Denominator cannot be zero (division by zero is undefined). The calculator requires denominator ≥ 1.

Q3: How are results simplified?
A: Results are reduced to lowest terms using the greatest common divisor (GCD).

Q4: What if my result is an improper fraction?
A: The calculator will convert improper fractions to mixed numbers when possible.

Q5: Can I use this for complex fractions?
A: This calculator handles simple mixed fractions. For complex fractions, additional steps may be needed.

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