Biggest Fraction Calculator

Compare multiple fractions to find the largest one:

\[ \text{Compare } \frac{a}{b}, \frac{c}{d}, \frac{e}{f}, \ldots \text{ to find the largest fraction} \]

Fraction 1:

Fraction 2:

Fraction 3 (optional):

Largest Fraction:

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1. What is Fraction Comparison?

Fraction comparison is the process of determining which of several fractions represents the largest or smallest value. This calculator helps identify the biggest fraction among those provided.

2. How Does the Calculator Work?

The calculator converts each fraction to its decimal equivalent and then compares these values:

\[ \text{Compare } \frac{a}{b}, \frac{c}{d}, \frac{e}{f} \text{ by calculating } \frac{a}{b}, \frac{c}{d}, \frac{e}{f} \text{ as decimals} \]

The fraction with the highest decimal value is identified as the largest.

3. Methods to Compare Fractions

Three main methods:

Decimal Conversion: Convert each fraction to decimal (used by this calculator)
Common Denominator: Find a common denominator and compare numerators
Cross Multiplication: Compare products of numerator × opposite denominator

4. Using the Calculator

Instructions: Enter numerators and denominators for 2-3 fractions. All denominators must be positive numbers. The calculator will show which fraction is largest and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: Can I compare more than 3 fractions?
A: This calculator handles 2-3 fractions. For more, you would need to do multiple comparisons.

Q2: What if two fractions are equal?
A: The calculator will show one of them as largest (they have the same value).

Q3: Does it simplify fractions?
A: No, it compares the exact fractions entered. Simplify before entering if desired.

Q4: Can I compare mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 1½ = 3/2).

Q5: What about negative fractions?
A: Negative fractions are supported, with -1/2 being larger than -3/4 for example.