In my math question it says:

Multiply. Simplify before multiplying. Use benchmarks to estimate to check the product is resonable.

a)3/4 x 8/5

is one of the equations

What are benchmarks?

3/4 x 8/5

Let's estimate that since 8/5 is more than 1 that your answer is probably just over 1.

First cancel to simplify:

3/1 * 2/5 = 6/5 = 1 1/5

3/4 x 8/5 = 24/20 = 12/10 = 6/5

You will need to supply your own benchmarks. I don't know how your teacher is using them.

im pretty sure that a bench mark is an estimate and to do this u muliply top and that's ur top nuber and multiply the bottom and that's ur bottom number I think sorry if im wrong

Benchmarks are reference points that can help you estimate the reasonableness of an answer or check the accuracy of your calculations. They are typically well-known or easily recognizable numbers that you can use as a guide for comparison.

In the context of multiplication, benchmarks could be familiar numbers that you can multiply mentally to estimate the approximate magnitude of the product. For example, if you were asked to multiply 0.75 (3/4) by 1.6, you could use benchmarks like 1 or 2 to estimate that the answer would be between 1 and 2. This estimation is helpful because it allows you to quickly spot if the final product seems off or unrealistic.

To use benchmarks, round the fractions to numbers that are easy to multiply mentally. For instance, you could round 3/4 to 0.75 and 8/5 to approximately 1.6. Then, multiply these rounded values to get an estimated product. In this case, 0.75 x 1.6 is approximately 1.2, which can be used as a benchmark to compare with the actual product.

However, it's important to remember that benchmarks provide only an approximation and may not give you the exact answer. They are mainly used as a tool to quickly check if your answer falls within a reasonable range. To find the exact product for the given equation of 3/4 x 8/5, you would perform the multiplication and simplify the fraction:

3/4 x 8/5 = (3 x 8) / (4 x 5) = 24/20

Then, simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (GCD):

GCD(24, 20) = 4

Dividing both the numerator and denominator by 4 gives:

24/20 = 6/5

So, the exact product is 6/5.