Comparing & Ordering
Compare and order fractions using various strategies
lessons (6)
Comparing Fractions with the Same Denominator
Learn how to compare fractions when they have the same denominator by looking at the numerators.
Comparing Fractions with the Same Numerator
Learn how to compare fractions when they have the same top number (numerator).
Fractions on a Number Line
Learn how to place and identify fractions on a number line by dividing intervals into equal parts.
Comparing Mixed Numbers
Learn how to compare mixed numbers by examining whole parts and fractional parts.
Comparing Fractions by Cross Multiplication
Learn the cross multiplication method to quickly compare any two fractions, even with different denominators.
Comparing Fractions Using Benchmarks
Learn to compare fractions quickly using benchmark fractions like 0, 1/2, and 1.
Comparing and ordering fractions requires understanding that the same whole can be divided into different numbers of equal parts. While comparing fractions with the same denominator is straightforward (larger numerator means larger fraction), comparing fractions with different denominators requires finding common denominators or converting to decimals.
Visual models like fraction bars and number lines help build intuition for fraction size. Understanding benchmark fractions (1/2, 1/4, 3/4) provides reference points for estimation. These skills are essential for real-world situations like comparing prices, understanding statistics, and working with measurements.
What Students Will Learn
- Compare fractions with like denominators
- Find common denominators to compare fractions
- Use benchmark fractions for estimation
- Order fractions from least to greatest
- Place fractions correctly on a number line
Frequently Asked Questions
How do I compare fractions with different denominators?
Either find a common denominator and compare numerators, or convert both to decimals. For example, to compare 2/3 and 3/4, use common denominator 12: 8/12 vs 9/12, so 3/4 is larger.
Why is 1/3 not always equal to 2/6?
Actually, 1/3 IS always equal to 2/6! These are equivalent fractions representing the same amount. You get 2/6 by multiplying both parts of 1/3 by 2.
Which is larger: 3/5 or 5/8?
Convert to a common denominator (40): 3/5 = 24/40 and 5/8 = 25/40. Since 25 > 24, we know 5/8 > 3/5.