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Q: Why is the product of two positive proper fractions always less than either fraction?

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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.

Not always. There are times when division of fractions results in a non-improper fraction.

There is always an LCD for a set of fractions, even if it's only the product of the denominators.

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.

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.

It is the same as determining the sign of the product of two integers;+ x + = ++ x - = -- x + = -- x - = +ORIf only positive numbers are multiplied, the result is positive.If positive and an even number of negative numbers (for example, + x - x -) are multiplied, the result is positive.If positive and an odd number of negative numbers (for example, + x + x -) are multiplied, the result is negative.If an even number of negative numbers (for example, - x -) are multiplied, the result is positive.If an odd number of negative numbers (for example, - x - x -) are multiplied, the result is negative.Remember the rule:Product of a positive and a positive fraction is always positive.Product of a positive and a negative fraction is always negative.Product of a negative and a positive fraction is always negative.Product of a negative and a negative fraction is always positive.Examples:½ * ¼ = 1/8½ * -¼ = -1/8-½ * ¼ = -1/8-½ * -¼ = 1/8Source: www.icoachmath.com

The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.

There is no complete answer because a fraction can always be reduced sot there is no smallest fraction.

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.

Positive. The product of even numbers of negative integers is always positive, whereas the product of odd nummbers of negative integers is always negative.

There can be no such thing as a nearest fraction since, given any fraction, it is always possible to find a fraction that is nearer.

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.

A positive fraction that is less than one is known as a proper fraction. In a proper fraction, the denominator is greater than the numerator. A reciprocal fraction would have a numerator greater than the denominator. Such a fraction is known as an improper fraction. Improper fractions are greater than one.

yes

No

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

The product is not always greater than 1.

None of the items in the list.

You can have negative fractions so it depends. it depends if you have a negative fraction you could have -1/2 but 1/2 is bigger than -1/2. negative numbers will always be smaller than positive numbers.

Numbers, including fractions, don't have units. It doesn't matter whether the number is positive, negative, exponential, rational, transcendental, mixed, imaginary, natural, or a fraction. The unit is always written after the number.

That is false. The product of two negative integers is always positive.

Yes, but this is true of not just unit fractions but any positive number.

The product is always negative.

Like and unlike fractions only make sense when you have two [or more] fractions. One fraction, such as 5/12, is always like itself.

Only if you have just two fractions.

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