Compare 3 Fractions Calculator

Fraction Comparison:

\[ \frac{a}{b} \quad \text{vs} \quad \frac{c}{d} \quad \text{vs} \quad \frac{e}{f} \]

Numerator 1 (a):

Denominator 1 (b):

Numerator 2 (c):

Denominator 2 (d):

Numerator 3 (e):

Denominator 3 (f):

Comparison Result:

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1. What is Fraction Comparison?

This calculator compares three fractions (a/b, c/d, e/f) and determines their order from smallest to largest. It converts each fraction to its decimal equivalent for accurate comparison.

2. How Does the Calculator Work?

The calculator uses the following method:

\[ \text{Value} = \frac{\text{Numerator}}{\text{Denominator}} \]

Where:

Numerator — Top number of the fraction
Denominator — Bottom number of the fraction (must be positive)

Explanation: The calculator converts each fraction to its decimal value by division, then sorts them from smallest to largest.

3. Importance of Fraction Comparison

Details: Comparing fractions is essential in mathematics, engineering, cooking, and many real-world applications where proportional relationships matter.

4. Using the Calculator

Tips: Enter numerators and denominators for all three fractions. Denominators must be positive numbers. The calculator will show the sorted order with decimal equivalents.

5. Frequently Asked Questions (FAQ)

Q1: What if two fractions are equal?
A: The calculator will show them with the same decimal value and list them consecutively.

Q2: Can I compare improper fractions?
A: Yes, the calculator works with both proper and improper fractions.

Q3: What about negative fractions?
A: Negative fractions are supported and will be sorted accordingly.

Q4: How precise are the decimal values?
A: Results are rounded to 4 decimal places for display.

Q5: Can I compare more than three fractions?
A: This calculator is designed for three fractions. For more, you would need to do multiple comparisons.