Definition
Fraction comparison
Fraction comparison decides which of two fractions is greater, less, or equal.
What it means
To compare fractions, make sure they describe the same-sized whole. Then ask which point lies farther right or which share covers more. You can use a model, a benchmark such as 1/2, or rewrite the fractions with matching units.
Remember it
Same whole first; then compare the sizes.
Example
Compare 5/8 and 2/3 of the same-length ribbon. Since 5/8 = 15/24 and 2/3 = 16/24, 2/3 is greater.
Watch for
You cannot compare actual amounts fairly when the fractions come from different-sized wholes unless you convert them to a common unit.
Common mix-up
A larger denominator does not by itself mean a larger fraction; for unit fractions, it means smaller pieces.
Exact meaning
Fraction comparison determines the order or equality of fractions by reasoning about their sizes with a shared whole or unit. Exact strategies include same-denominator or same-numerator reasoning, benchmarks, equivalent fractions, number lines, and other justified methods.