That's only true if the fractions are "proper" fractions ... with numerator smaller than denominator.
The reason is: If you take (a piece less than the whole thing) out of (a piece less than the whole thing),
you wind up with a piece smaller than either of the original pieces.
It depends on what type of fraction it is. If the fractions are improper fractions, the product will be greater than the two fractions multiplied together. (Ex: 3/2 x 5/4 = 15/6 or 5/2. 5/2 is greater than 3/2.) If the fractions both have 1 as a numerator, the product is smaller. (Ex: 1/3 x 1/6 = 1/18. 1/18 is less than 1/3.) Any other fractions, it would depend on what fractions you're multiplying. Remember, you are multiplying the numerator by the other numerator and the denominator by the other denominator. (Answer Product of numerators/Product of denominators)
if you mean multiplying something by a fraction where the numerator is smaller than the denominator then yes.
if 1/2 x 1/3 then times it and get 1/6
A proper fraction is less than 1. Any positive number multiplied by a positive number less 1 will be less than itself. In multiplying two proper fractions, each one is being multiplied by a number less than 1.
If you multiply by 1 they stay the same. If you multiply by more than 1 they increase. Fractions less than 1 are less than unity so the products decrease because you are only taking a fraction of the number.
It is not: they are the same. A "product" and "multiple" are synonyms.
It depends on what type of fraction it is. If the fractions are improper fractions, the product will be greater than the two fractions multiplied together. (Ex: 3/2 x 5/4 = 15/6 or 5/2. 5/2 is greater than 3/2.) If the fractions both have 1 as a numerator, the product is smaller. (Ex: 1/3 x 1/6 = 1/18. 1/18 is less than 1/3.) Any other fractions, it would depend on what fractions you're multiplying. Remember, you are multiplying the numerator by the other numerator and the denominator by the other denominator. (Answer Product of numerators/Product of denominators)
When two positive improper fractions are multiplied, the product is never 1. An improper fraction is one where the numerator is greater than or equal to the denominator, so when you multiply two such fractions, the resulting product is always greater than 1. Therefore, the statement is "never."
if you mean multiplying something by a fraction where the numerator is smaller than the denominator then yes.
if 1/2 x 1/3 then times it and get 1/6
Certainly. -31/2 and -41/2 are both less than 1 and their product is 15.75
A proper fraction is less than 1. Any positive number multiplied by a positive number less 1 will be less than itself. In multiplying two proper fractions, each one is being multiplied by a number less than 1.
huh. not a formal proof, but intuition says no, since decimal places represent fractions, and multiplication of fractions leads to smaller numbers (or more less than one), leading to more decimal places.
any proper fraction ( numerator smaller than denominator) will do this
If you multiply by 1 they stay the same. If you multiply by more than 1 they increase. Fractions less than 1 are less than unity so the products decrease because you are only taking a fraction of the number.
The product of two positive proper fractions is always a positive proper fraction. A proper fraction is defined as a fraction where the numerator is less than the denominator. Therefore, when multiplying two fractions, the result will have a numerator smaller than the denominator, maintaining its status as a proper fraction.
For the same reason that you can multiply two proper fractions and get a smaller number than either of them. You are multiplying either decimal by a number that is smaller than 1. As a result you get an answer that is smaller than 1 times the first number.