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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.

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Q: Why is the product of two fractions smaller than two fractions thet were multiplied?
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Who do fractions get smaller when you multiply them by another fraction?

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 you multiply two fractions does the number get greater or less than the two fractions multiplied?

if you mean multiplying something by a fraction where the numerator is smaller than the denominator then yes.


When you multiply two fractions why is the product smaller than the fractions?

if 1/2 x 1/3 then times it and get 1/6


When multiplying proper fractions why is the product less than the both factors?

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.


Why do numbers get smaller when multiplied by fractions 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.

Related questions

How is the product of 2proper fractions greater than the fractions being multiplied?

It is not: they are the same. A "product" and "multiple" are synonyms.


Who do fractions get smaller when you multiply them by another fraction?

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 you multiply two fractions does the number get greater or less than the two fractions multiplied?

if you mean multiplying something by a fraction where the numerator is smaller than the denominator then yes.


When you multiply two fractions why is the product smaller than the fractions?

if 1/2 x 1/3 then times it and get 1/6


When two fractions less than one are multiplied the product is sometimes greater than 1?

Certainly. -31/2 and -41/2 are both less than 1 and their product is 15.75


Is it possible for the final product of two numbers to contain fewer decimal places than either of the numbers being multiplied Why or why not?

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.


When multiplying proper fractions why is the product less than the both factors?

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.


Which fractionwhen multiplied by 36 will result in a product that is less than 36?

any proper fraction ( numerator smaller than denominator) will do this


Why do numbers get smaller when multiplied by fractions 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.


Why can you multiply two decimal numbers together and get an answer less than either one of the numbers you multiplied?

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.


When is the product of two fractions less than its factors?

If the fractions are both proper fractions ... equivalent to less than 1 ... thenthat's always true ... the product is always less than either factor.


When you multiply a whole number by a fraction is the product always less than the original whole number?

A number multiplied by 1 is equal to the original number. So: For fractions where the numerator (top) is LESS than the deonominator (bottom), the product will be LESS than the original number, because the fraction has a value of LESS than 1. For fractions where the numerator is MORE than the denominator, the product will be MORE than the original number because the fraction has a value of MORE than 1. For fractions where the numerator and denominator are the same, the product will be the same as the original number because the fraction has a value equal to 1.