Fractions Calculator Adding And Subtracting

Fraction Addition/Subtraction Formula:

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

First Fraction Numerator (a):

First Fraction Denominator (b):

Operation:

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Result:

Decimal Equivalent:

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1. What is Fraction Addition/Subtraction?

Fraction addition and subtraction are fundamental arithmetic operations that combine two fractions into a single fraction. The operation requires finding a common denominator before combining the numerators.

2. How Does the Calculator Work?

The calculator uses the standard fraction operation formula:

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

Where:

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

Explanation: The calculator first finds a common denominator by multiplying the denominators, then combines the numerators accordingly, and finally simplifies the resulting fraction.

3. Importance of Fraction Operations

Details: Understanding fraction operations is essential for mathematics, engineering, cooking measurements, and many real-world applications where quantities aren't whole numbers.

4. Using the Calculator

Tips: Enter numerators and denominators (denominators must be positive integers), select the operation (addition or subtraction), and click calculate. The calculator will show the result in fraction form and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative denominator?
A: The calculator automatically moves the negative sign to the numerator for proper fraction display.

Q2: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by it.

Q3: Can I use negative fractions?
A: Yes, you can enter negative numerators but denominators must always be positive.

Q4: What if the result is an improper fraction?
A: The calculator shows improper fractions as-is (like 5/2) rather than converting to mixed numbers.

Q5: How precise is the decimal result?
A: The decimal is rounded to 4 decimal places for readability while maintaining reasonable precision.