Mixed Fraction Calculator 3 Fractions And Whole Numbers

Mixed Fraction Formula:

\[ (m \frac{n}{o}) + (p \frac{q}{r}) + s = \frac{(m \times o + n) \times r + (p \times r + q) \times o + s \times o \times r}{o \times r} \]

First Whole Number:

First Numerator:

First Denominator:

Second Whole Number:

Second Numerator:

Second Denominator:

Additional Whole Number:

Result (Simplified):

Decimal Equivalent:

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1. What is the Mixed Fraction Calculator?

This calculator adds two mixed fractions and a whole number, providing the result in both simplified mixed fraction form and decimal equivalent. It handles complex fraction operations automatically.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ (m \frac{n}{o}) + (p \frac{q}{r}) + s = \frac{(m \times o + n) \times r + (p \times r + q) \times o + s \times o \times r}{o \times r} \]

Where:

\( m \) — First whole number
\( n \) — First numerator
\( o \) — First denominator
\( p \) — Second whole number
\( q \) — Second numerator
\( r \) — Second denominator
\( s \) — Additional whole number

Explanation: The formula converts mixed fractions to improper fractions, finds a common denominator, performs the addition, and then simplifies the result back to mixed fraction form.

3. Importance of Mixed Fraction Calculation

Details: Mixed fractions are commonly used in measurements, recipes, and construction. Accurate calculation ensures precise measurements in these applications.

4. Using the Calculator

Tips: Enter all whole numbers, numerators, and denominators. Denominators must be positive integers. The calculator will automatically simplify the result.

5. Frequently Asked Questions (FAQ)

Q1: Can I enter negative numbers?
A: Whole numbers can be negative, but numerators and denominators must be positive (denominators cannot be zero).

Q2: What if my result is an improper fraction?
A: The calculator will convert it to a mixed number (whole number + proper fraction).

Q3: How is the fraction simplified?
A: The calculator uses the greatest common divisor (GCD) to reduce the fraction to its simplest form.

Q4: Can I add more than two fractions?
A: This calculator is designed for two mixed fractions plus one whole number. For more fractions, you would need to perform multiple calculations.

Q5: Why is the decimal result important?
A: The decimal equivalent helps in comparing values and is often easier to work with in further calculations.