Calculator 3 Digit Fraction Addition And Subtraction

Fraction Addition/Subtraction Formula:

\[ \frac{a}{b} + \frac{c}{d} - \frac{e}{f} = \frac{a \times d \times f + c \times b \times f - e \times b \times d}{b \times d \times f} \]

First Fraction Numerator:

First Fraction Denominator:

Second Fraction Numerator:

Second Fraction Denominator:

Third Fraction Numerator:

Third Fraction Denominator:

Calculation Result:

Decimal Value:

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1. What is 3-Digit Fraction Addition/Subtraction?

This calculator performs addition and subtraction operations with three fractions, each having 3-digit numerators and denominators. It follows the standard arithmetic rules for fractions while ensuring all inputs are exactly 3 digits.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ \frac{a}{b} + \frac{c}{d} - \frac{e}{f} = \frac{a \times d \times f + c \times b \times f - e \times b \times d}{b \times d \times f} \]

Where:

\( a \) — First numerator (3 digits)
\( b \) — First denominator (3 digits)
\( c \) — Second numerator (3 digits)
\( d \) — Second denominator (3 digits)
\( e \) — Third numerator (3 digits)
\( f \) — Third denominator (3 digits)

Explanation: The calculator finds a common denominator, performs the operations, and simplifies the result to its lowest terms.

3. Importance of Fraction Calculation

Details: Accurate fraction operations are fundamental in mathematics, engineering, and sciences. This calculator helps verify manual calculations and ensures precision with 3-digit values.

4. Using the Calculator

Tips: Enter all six 3-digit values (three numerators and three denominators). Denominators cannot be zero. The calculator will display both fractional and decimal results.

5. Frequently Asked Questions (FAQ)

Q1: Why limit to 3-digit numbers?
A: This calculator specializes in 3-digit operations which are common in educational settings and standardized tests.

Q2: What if denominators are zero?
A: The calculator will not process invalid inputs (denominators cannot be zero in fractions).

Q3: How is simplification performed?
A: Results are simplified using the greatest common divisor (GCD) algorithm.

Q4: Can I use numbers with more than 3 digits?
A: The calculator is designed for exactly 3-digit inputs (100-999).

Q5: Why show both fractional and decimal results?
A: Fractional form is exact while decimal form provides intuitive understanding - both are useful.