simplest form
It is called simplification [by cancelling common factors].
give an example of two fractions whose product equals 1
Common factors go into the numbers, the numbers go into common multiples.
Finding the GCF will help you when you are trying to reduce fractions.
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.
Exactly the same as you do when multiplying fractions with different denominators. -- Multiply numerators . . . the product is the numeratore of the answer. -- Multiply denominators . . . the product is the denominator of the answer.
When cross multiplying, finding the product of the means and extremes, you are technically getting a common denominator that reduces out.
simplest form
no
No.
It is called simplification [by cancelling common factors].
give an example of two fractions whose product equals 1
No you do not.
In order to multiply fractions with variables, factor all numerators and denominators completely. Use the rules for multiplying and dividing fractions, cancel any common factors, and leave your final answer in factored form.
Multiplying the denominators together of two or more unlike fractions will get you a common multiple.
YES.
You may have answered your own question. Equivalent fractions have common factors. If they don't have common factors, they aren't equivalent.