Definition
Benchmark fraction
A benchmark fraction is a well-known value used to judge the size of an unfamiliar fraction.
Continue from this idea into connected AXIO math.
Boundary check: Compare fractions only after fixing the same whole.
What it means
Place the fraction beside a value you already know well. Ask whether it is below, equal to, or above that benchmark. Other convenient fractions can be benchmarks too. The comparison must refer to the same-sized whole when you are comparing amounts.
Remember it
Use a familiar stopping point: 0, one half, or 1.
Example
Compare 7/12 with the benchmark 1/2. Since 1/2 = 6/12, the fraction 7/12 is one twelfth greater than 1/2.
Watch for
Half of a small pizza and half of a large pizza are equal fractions but different amounts; amount comparisons need the same whole.
Common mix-up
A benchmark fraction is the reference used for comparison. An equivalent fraction has exactly the same value as another fraction.
Exact meaning
A benchmark fraction is an easy-to-recognise fraction, often 0, 1/2, or 1, placed beside another fraction to estimate or compare its size.