How can you use a benchmark fraction to tell if a percent is reasonable?

In math, benchmark fractions can be defined as common  that we can measure or judge against, when measuring, comparing or ordering other fractions.  

Benchmark fractions are easy to visualize and identify, and thus, help in estimating the parts. When comparing two fractions with different numerators and denominators, we can either make their denominators common or compare them to a benchmark fraction such as 1/2.

Benchmark fractions are most helpful when fractions to be compared are placed on a number line against the benchmarks.  

Here’s a chart of benchmark fractions placed on a number line, which can help in comparing fractions.  

Benchmark fractions number line chart compare measure fractions

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.