Instantly determine which fraction is larger or if they are equivalent.
Enter numerators and denominators as numbers. Denominator must not be zero.
Fraction 1 is less than Fraction 2
Decimal 1
0.5000
Decimal 2
0.6667
Cross 1
3
Cross 2
4
Comparing fractions means determining which of two (or more) fractions represents a larger or smaller portion of a whole. This is a fundamental skill in mathematics that's used in cooking, construction, measurements, and many other practical applications.
Fractions can be compared using several methods: converting to decimals, finding a common denominator, or using cross-multiplication. The key is understanding that the numerator (top) tells you how many pieces you have, while the denominator (bottom) tells you the size of each piece.
Example 1: Compare 3/4 and 5/7
Method 1 (Decimals):
3/4 = 0.75 and 5/7 ≈ 0.714
0.75 > 0.714, so 3/4 > 5/7
Method 2 (Cross-Multiply):
3 × 7 = 21 and 5 × 4 = 20
21 > 20, so 3/4 > 5/7
Example 2: Compare 1/2 and 3/7
Method 1 (Decimals):
1/2 = 0.5 and 3/7 ≈ 0.429
0.5 > 0.429, so 1/2 > 3/7
Example 3: Compare 2/5 and 4/10
Cross-Multiply:
2 × 10 = 20 and 4 × 5 = 20
20 = 20, so 2/5 = 4/10 (Equivalent!)
Fractions that look different but represent the same value (e.g., 1/2 = 2/4 = 3/6). They have the same decimal value.
The fraction with the smaller denominator is larger. For example, 1/2 > 1/3 (halves are bigger than thirds).
The fraction with the larger numerator is larger. For example, 3/5 > 2/5 (3 parts out of 5 is more than 2 parts out of 5).
Yes! Convert all to decimals or use cross-multiplication pairwise. Common denominator method works best for multiple fractions.
An improper fraction like 7/4 is simply > 1. Convert to decimal (1.75) and compare normally.
Cross-multiplication avoids finding common denominators, making it faster. It works because multiplying both sides by the same number preserves the inequality.
No! All three methods give the same answer. Choose whichever you're most comfortable with or find fastest.
Use visual fraction bars or pizza slices to show that different fractions can represent the same amount, and larger numerators or smaller denominators mean bigger portions.
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