11/16 can be compared to the benchmark 3/4.
36*11/16<36*3/4
so you estimate the fraction as slightly less than 27
36*11/16<36*3/4
so you estimate the fraction as slightly less than 27
To estimate the product, you can round 11/16 to 3/4 and then calculate:
36 x 3/4 = (36 x 3) / 4 = 108 / 4 = 27.
So, using the benchmark fraction of 3/4, the estimated product would be 27.
Benchmark fractions are fractions that are commonly used as reference points and are usually multiples or fractions of common whole numbers.
To estimate the product of 36 x 11/16, you can look for a benchmark fraction that is close to 11/16. Let's consider some benchmark fractions:
1/2: This is half of a whole. It is larger than 11/16, so it wouldn't be a good choice for estimation.
1/4: This is one-fourth of a whole. Since it is smaller than 11/16, it wouldn't provide a good estimate.
2/3: This fraction is larger than 11/16 and may not be a good choice for estimation.
3/4: This fraction is closer, but still larger than 11/16.
7/8: This fraction is closer to 11/16 and can be used for estimation.
Therefore, a benchmark fraction that you can use to estimate the product of 36 x 11/16 is 7/8.