Fractions Calculator With Negative Numbers

Fraction Formula:

\[ Result = \frac{(a \times d \pm b \times c)}{(b \times d)} \]

Numerator 1 (a):

Denominator 1 (b):

Operation:

Numerator 2 (c):

Denominator 2 (d):

Result:

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1. What Is Fractions Calculator With Negative Numbers?

The Fractions Calculator With Negative Numbers performs addition and subtraction operations on fractions, including those with negative values. It handles the mathematical operations while properly accounting for negative signs in the numerators and denominators.

2. How Does The Calculator Work?

The calculator uses the fraction operation formula:

\[ Result = \frac{(a \times d \pm b \times c)}{(b \times d)} \]

Where:

\( a \) — Numerator of first fraction
\( b \) — Denominator of first fraction
\( c \) — Numerator of second fraction
\( d \) — Denominator of second fraction
\( \pm \) — Addition or subtraction operation

Explanation: The calculator finds a common denominator, performs the specified operation on the numerators, and simplifies the resulting fraction to its lowest terms.

3. Importance Of Fraction Calculation

Details: Accurate fraction calculation is essential in mathematics, engineering, science, and everyday life. Understanding how to work with fractions, including negative fractions, is fundamental to many mathematical operations and real-world applications.

4. Using The Calculator

Tips: Enter integer values for numerators and denominators (positive or negative), select the operation (addition or subtraction), and click calculate. Denominators cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: Can I use negative numbers in both numerator and denominator?
A: Yes, the calculator handles negative numbers in both numerators and denominators according to standard mathematical rules.

Q2: What happens if I enter zero as a denominator?
A: Division by zero is undefined in mathematics. The calculator will not process inputs with zero denominators.

Q3: How does the calculator simplify fractions?
A: The calculator uses the greatest common divisor (GCD) algorithm to reduce fractions to their simplest form.

Q4: Does the calculator handle mixed numbers?
A: This calculator works with proper and improper fractions. For mixed numbers, convert them to improper fractions first.

Q5: What's the difference between the fraction result and decimal result?
A: The fraction result shows the exact mathematical value, while the decimal result provides an approximate decimal equivalent for easier interpretation.