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When you multiply two fractions why is the product smaller than the fractions?
Wiki User
∙ 13y ago
if 1/2 x 1/3 then times it and get 1/6
Wiki User
∙ 13y ago
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When you multiply two fractions why is the product greater than 1?
The product is not always greater than 1.
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)
Why is the product of two fractions smaller than two fractions thet were multiplied?
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.
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.
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.
When you multiply two fractions why is the product greater than 1?
The product is not always greater than 1.
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)
Why is the product of two positive proper fractions always less than either fraction?
because when you multiply the denominators it creates a much smaller proportion. for example multiply 0.5 by 0.5, the result is 0.25 in fractions it is 1/2 x 1/2, the result 1/4
Why is the product of two fractions smaller than two fractions thet were multiplied?
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.
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.
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 multiply 0.8 by a number between 0 and 1 will the product be bigger or smaller the same than 0.8?
Smaller. The product of any positive number and a number between 0 and 1 will be smaller than the original number.
When you multiply two positive fractions is the product less than one?
It depends on the factions, but normally, yes. For example, you multiply one-fourth by one-half, you get one eighth, which is less than one.
Is it true that when you multiply a number by another number less than 1 you get a product greater than the first number?
No, this statement is not true. When you multiply a number by another number less than 1, the product will be smaller than the first number. For example, multiplying 5 by 0.5 gives a product of 2.5, which is smaller than 5.
Why is the product of two proper fractions less than either of the fractions?
A proper fraction is less than 1. Whenever you multiply something by a number < 1, the result (product) is less than the original number. So when you multiply a proper fraction by a number less one (such as another proper fraction, the product is less than the original proper fraction. The only time a product involving a given number is larger than the given number is when you multiply the given number by a number that is > 1. Since all proper fractions are < 1, products involving them are always less than the original given number.
Is it true that when you multiply two natural numbers the product is never less than either of the two numbers?
Yes. Natural numbers are counting numbers, equal to or greater than 0. The only ways a product can be less than its multiplicands is when multiplying fractions by fractions or multiplying a positive number by a negative number.
