Adding Negative Fractions Calculator With Solution

Formula for Adding Negative Fractions:

\[ \left(-\frac{a}{b}\right) + \left(-\frac{c}{d}\right) = -\frac{(a \times d + b \times c)}{(b \times d)} \]

Solution:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Adding Negative Fractions?

Adding negative fractions follows the same rules as adding positive fractions, but the result will be negative. The formula combines the numerators over a common denominator while maintaining the negative sign.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ \left(-\frac{a}{b}\right) + \left(-\frac{c}{d}\right) = -\frac{(a \times d + b \times c)}{(b \times d)} \]

Where:

\( a \) — Numerator of first fraction
\( b \) — Denominator of first fraction
\( c \) — Numerator of second fraction
\( d \) — Denominator of second fraction

Explanation: The calculator finds a common denominator by multiplying the denominators, then combines the numerators while maintaining the negative sign.

3. Importance of the Calculation

Details: Understanding how to add negative fractions is fundamental in algebra and appears in various mathematical and scientific calculations. It's essential for solving equations and working with rational numbers.

4. Using the Calculator

Tips: Enter the numerators and denominators of both negative fractions. Denominators must be positive integers. The calculator will show the step-by-step solution and simplified form if possible.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for positive fractions?
A: Yes, but the result will follow standard addition rules for positive fractions.

Q2: What if denominators are the same?
A: The calculation simplifies to adding the numerators directly: -a/b + -c/b = -(a+c)/b

Q3: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator to simplify the result.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions first before using this calculator.

Q5: Can denominators be negative?
A: While mathematically possible, this calculator requires positive denominators for simplicity.