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
Cross cancelling is a simplification method used when multiplying fractions. It involves reducing the numerators and denominators across the fractions before performing the multiplication. By dividing common factors, you can simplify the calculation, making it easier and quicker to find the product. For example, in the multiplication of ( \frac{a}{b} \times \frac{c}{d} ), if ( a ) and ( d ) share a common factor, you can divide both by that factor before multiplying the fractions.
no
No.
A common misconception is that multiplying fractions always results in a smaller number. While it is true that multiplying two proper fractions (less than one) results in a smaller fraction, multiplying a fraction by a mixed number can yield a larger product if the mixed number is greater than one. Therefore, the statement "Multiplying fractions always results in a smaller number" is not true.
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.