Comparing Fractions Calculator
Compare two fractions to determine which is greater, lesser, or if they are equal
Compare Fractions
First Fraction
Fraction: 0
Decimal: 0.000000
Second Fraction
Fraction: 0
Decimal: 0.000000
Comparison Result
Decimal Form:
0.000000 vs 0.000000
Step-by-Step Solution
Example Comparison
Pizza Slice Example
Question: Which is more pizza: 3/8 or 2/5?
Method: Find common denominator
LCM(8, 5) = 40
3/8 = (3×5)/(8×5) = 15/40
2/5 = (2×8)/(5×8) = 16/40
Result: 15/40 < 16/40, so 3/8 < 2/5
Same Denominator Example
Question: Compare 4/7 and 5/7
Method: Same denominators, compare numerators
Result: 4 < 5, so 4/7 < 5/7
Comparison Methods
Same Denominator
Compare numerators directly
Larger numerator = larger fraction
Same Numerator
Compare denominators
Smaller denominator = larger fraction
Different Numbers
Find common denominator
Use LCM of denominators
Comparison Tips
Convert mixed numbers to improper fractions first
Cross multiplication: a/b vs c/d → compare a×d vs b×c
Decimal method works but may lose precision
Remember: smaller pieces mean larger denominators
Understanding Fraction Comparison
What Does It Mean to Compare Fractions?
Comparing fractions means determining which fraction represents a larger or smaller value, or if they represent the same value. This is fundamental for understanding relative sizes and proportions in mathematics.
Why Is It Important?
- •Essential for ordering fractions from least to greatest
- •Critical for real-world applications like cooking and measurements
- •Foundation for more advanced mathematical concepts
- •Helps understand proportional relationships
Comparison Methods
Cross Multiplication
For a/b vs c/d:
Compare a×d with b×c
If a×d > b×c, then a/b > c/d
Common Denominator
Find LCM of denominators
Convert both fractions
Compare numerators directly
Decimal Conversion
Divide numerator by denominator
Quick but may lose precision for repeating decimals