Calculator 3 Digit Fraction Addition And Multiplication

Fraction Calculation:

\[ \frac{num1}{den1} + \frac{num2}{den2} \times \frac{num3}{den3} \]

First Fraction Numerator:

First Fraction Denominator:

Second Fraction Numerator:

Second Fraction Denominator:

Third Fraction Numerator:

Third Fraction Denominator:

Result (Fraction):

Result (Decimal):

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1. What is This Calculator For?

This calculator performs combined addition and multiplication operations on three 3-digit fractions. It calculates the result of the expression: (num1/den1) + (num2/den2) × (num3/den3).

2. How Does the Calculation Work?

The calculator follows these steps:

\[ \frac{num1}{den1} + \left( \frac{num2}{den2} \times \frac{num3}{den3} \right) \]

Order of operations:

First multiply the second and third fractions
Then add the result to the first fraction
Simplify the final result to lowest terms

3. Understanding Fraction Operations

Multiplication: Multiply numerators together and denominators together.
Addition: Find common denominator, convert fractions, then add numerators.
Simplification: Divide numerator and denominator by their greatest common divisor.

4. Using the Calculator

Instructions: Enter all six 3-digit numbers (three numerators and three denominators). Denominators cannot be zero. The calculator will show results in both fractional and decimal form.

5. Frequently Asked Questions (FAQ)

Q1: Why must numbers be 3-digit?
A: This calculator is specifically designed for 3-digit fractions to maintain consistency in the calculation.

Q2: What if I get a zero denominator error?
A: Denominators cannot be zero in fractions. Please enter valid non-zero denominators.

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

Q4: Can I use this for more than three fractions?
A: No, this calculator is specifically designed for the operation on exactly three fractions as shown.

Q5: Why show both fraction and decimal results?
A: Fraction form shows the exact mathematical relationship while decimal form provides a more intuitive understanding of the value.