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.
One common application of greatest common factors is to simplify fractions. Note that you don't necessarily need the GREATEST common factor; you can simplify by dividing both numbers by any common factor, and then continue looking for additional factors.
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
It is called simplification [by cancelling common factors].
No.
no
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.
No. To multiple fractions multiple the numerators together and multiply the denominators together and simplify (by dividing both numerator and denominator of the result by common factors until the only common factor is 1). The denominators only need to be the same when adding or subtracting fractions.
YES.