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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.

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

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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.

The product would always be 0.

The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.

No, the product will always be even.

2/14, 3/21, 4/28...just multiply the numerator(top) and denominator(bottom) by the same number and your result will always be equivalent to the original fraction :)

... less than the original fraction.

The product is not always greater than 1.

Multiply the numerators together. Multiply the denominators together. Reduce, if possible. The answer when multiplying fractions together will always be lower than either.

A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.

the same way you always multiply fractions. Change mixed numbers into improper fractions, multiply all numerators to get a new numerator, multiply all denominators to get a new denominator, then reduce the fraction.

its always the same

No the product of two integers will not always be a positive, because if you multiply a positive and a negative you'll get a negative.

That is true.

The only thing that you can be certain of is that the answer will be a number. It could be irrational or rational, it could be a proper fraction, integer or improper (mixed) fraction.

Yes. Math is all about patterns. Every number larger than 1 will make the product larger than the original integer. I could describe this with a limit, but I'll hold off... As the multiplier gets closer to 1, the product gets closer to the original number. Until you hit 1, when it is equal. So if we look at numbers less than 1, we are force to conclude that the produce must be less than the original number, by trichotomy. Meaning there is no other choice: it can't be bigger or the same, so it must get smaller. Hope that clarifies.

It is equal to 1, but not always: the reciprocal must be defined for the equality and the reciprocal is not always defined.

No. The product of a mixed number between 4 and 5 and a fraction between 0 and 1 is always less than 5, but is not always less than 4.

Yes, the product of three negative numbers is always a negative number.

The fraction is always exactly equal to ' 1 ', and so it doesn'tchange the value of the quantity that you multiply by it.

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

the quotient is always greater than the either fraction because any time when you multiply either number with 1 you will get the whole entire universe heheheheh

No. The product of a negative number and a positive number is always negative.

To solve these kinds of problems you multiply the original number by the fraction of the percentage at hand.The fraction of the percentage is always the percent/100.So in this case:36 x (25/100) = 9Hope this helps!9

A reciprocal is the number you must multiply another number by to get the product of 1. The reciprocal of 4 (which is the same as 4/1) is 1/4. The reciprocal of 3/8 is 8/3. The reciprocal of 13 is 1/13.This can also be expressed using exponents. The reciprocal of any value x is equal to x-1. So the reciprocal of a/b is (a/b)-1, which is equal to b/a.To find a reciprocal, put the number under one. If it is a fraction, flip the fraction. Whatever the reciprocal is, remember that it must always multiply to one with the original number.