1/15
00:00

DD.1 Compare fractions with models

Loading questions...

What does it mean to compare fractions?

Comparing fractions means deciding which fraction is greater, which is smaller, or if they are equal. Fractions show parts of a whole, so we compare how much of the whole each fraction represents.

Example:
  • 1/2 is greater than 1/4
  • 3/8 is less than 5/8
  • 2/3 is equal to 4/6
Note

Always compare fractions that describe the same whole. The size of the whole must be equal before comparing fractions.

How do you identify which fraction is greater?

To identify which fraction is greater, compare their denominators (the bottom numbers) and numerators (the top numbers). Fractions with the same denominator are easy to compare by looking at the numerators. Fractions with different denominators may need to be rewritten with a common denominator.

Steps:
  • Compare fractions with the same denominator: 3/8 and 5/8 β†’ 5/8 is greater.
  • Compare fractions with the same numerator: 2/4 and 2/6 β†’ the fraction with the smaller denominator (2/4) is greater.
  • Find a common denominator for fractions like 1/2 and 2/3 β†’ rewrite as 3/6 and 4/6 β†’ 4/6 is greater.
Note

You can also use fraction models, number lines, or drawings to visualize which fraction is bigger or smaller.

Examples of comparing fractions

Look at examples of comparing fractions to understand how numerators and denominators affect size.

Examples:
  • 1/3 < 1/2 (thirds are larger pieces, but there are fewer in 1/3 compared to 1/2)
  • 3/4 > 2/4 (both have the same denominator, so compare numerators)
  • 5/10 = 1/2 (fractions can be equivalent even if they look different)
Note

Remember: Fractions with larger numerators are not always greaterβ€”it depends on the denominator too.

Helpful strategies when comparing fractions

There are several strategies to use when comparing fractions, depending on the type of fractions you are working with.

Strategies:
  • Same denominator: Compare numerators directly.
  • Same numerator: The smaller denominator means larger parts, so the fraction is greater.
  • Different denominators: Rewrite with a common denominator or use a number line.
Note

Think of fractions as fair shares. Which group gets bigger pieces or more pieces? That will help you compare quickly.