Desmos Calculator Fractions Addition And Subtraction

Fraction Addition/Subtraction:

\[ \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd} \]

Numerator 1 (a):

Denominator 1 (b):

Operation:

Numerator 2 (c):

Denominator 2 (d):

Result:

Decimal Value:

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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 operations require finding a common denominator before combining the numerators.

2. How Does the Calculator Work?

The calculator uses the standard fraction operation formula:

\[ \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd} \]

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 first finds a common denominator (bd), then combines the numerators accordingly (ad ± bc), and finally simplifies the resulting fraction.

3. Importance of Fraction Operations

Details: Understanding fraction operations is essential for algebra, measurements, ratios, and real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators) and select the operation. Denominators must be positive integers. The calculator will show both the fractional result (simplified if possible) and decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative result?
A: Negative results are valid and indicate the combined value is less than zero. The calculator will properly display negative fractions.

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

Q3: What if denominators are equal?
A: The calculation still works correctly - the common denominator will be the square of the equal denominators.

Q4: Can I use this for mixed numbers?
A: First convert mixed numbers to improper fractions, then use the calculator, and convert back if needed.

Q5: What about division or multiplication?
A: This calculator handles only addition and subtraction. For multiplication/division, you would need a different calculator.