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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

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โˆ™ 2011-02-10 04:07:15
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Q: Why is the product of two positive proper fractions always less than either fraction?
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When multiplying fraction by fraction the product will always be?

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.


When dividing fractions does the answer always end with an improper fraction?

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


What I there is isn't a lowest common denominator for a fraction?

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


What is the product of two numbers that are reciprocals of one another explain why this is always the case?

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.


Is the product of two positive integers always positive?

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.


What is the rule for determining the sign of the product of two fractions?

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


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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.


What is the smallest of all the fractions?

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Why is the product of two proper fractions less than either of the fractions?

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Is the product of 4 negative integers positive or negative?

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


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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.


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.


Why is the reciprocal of a fraction less than one always a fraction greater than one?

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.


Is the product of 2 positive integers always positive?

yes


Is the product of a negative integer and a positive integer always positive?

No


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.


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Which of the following is always irrationalhe sum of two fractions the product of a fraction and a repeating decimal the sum of a terminating decimal and the square root of a perfect square the produ?

None of the items in the list.


Are fractions bigger than negative numbers?

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.


How do you write sq ft in fractions?

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Is the product of two negative integers always negative?

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


Why does a unit fraction less than one is divided by a who number greater than 1 the quotient is always greater than the dividend?

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


What do you get when you multiple a negative and a positive?

The product is always negative.


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


Is the product of two denominators always a common denominator?

Only if you have just two fractions.

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