Fraction Calculator 3 4 1 6

Fraction Operations:

\[ \frac{3}{4} \text{ and } \frac{1}{6} \]

Calculation:

Simplified Result:

Decimal Result:

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1. What is This Fraction Calculator?

This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) between the fractions 3/4 and 1/6. It provides results in both fractional and decimal forms.

2. How Fraction Operations Work

The calculator performs the following operations:

Addition: \[ \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \]
Subtraction: \[ \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \]
Multiplication: \[ \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \]
Division: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

3. Understanding the Results

Three Result Formats:

Raw result showing the operation performed
Simplified fraction (reduced to lowest terms)
Decimal equivalent of the result

4. Using the Calculator

Steps:

Select the operation you want to perform from the dropdown menu
Click "Calculate" button
View all three forms of the result

5. Frequently Asked Questions (FAQ)

Q1: Why are the fractions 3/4 and 1/6 fixed?
A: This is a specialized calculator designed specifically for these two fractions.

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

Q3: What if the result is an improper fraction?
A: The calculator shows improper fractions as-is (like 11/12) rather than converting to mixed numbers.

Q4: How precise is the decimal result?
A: The decimal is rounded to 4 decimal places for readability.

Q5: Can I use this for other fractions?
A: No, this calculator only works with 3/4 and 1/6. For other fractions, use a general fraction calculator.