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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.

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โˆ™ 2017-10-02 22:24:26
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โˆ™ 2017-09-29 10:32:13

That is not true because proper fractions need not be positive. -1/2 and -2/3 are proper fractions.

Their product is 1/3, which is greater than either of the fractions.

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Anonymous

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โˆ™ 2020-09-01 21:25:20

The product of two POSITIVE fractions less than one is less than either factor. Try thinking of multiplication as ‘of’ when performing multiplication of fractions less than one. E.g. 1/4 x 1/4 = is asking what is one quarter of one quarter, which is one sixteenth 1/4 x 1/4 = 1/16 (multiply 1 x 1 to get the numerator and 4 x 4 to get the denominator (1/16)

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Q: Why is the product of two proper fractions less than either of the fractions?
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Related questions

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.


How do you convert between improper fractions and proper fractions?

You don't. Proper fractions are less than one, improper fractions are greater.


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 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 will the quotient of two fractions less than 1 be greater than either fraction?

Yes. Consider two negative fractions. Since they are negative, both are less than 1. But their product is positive and so greater than either.


What are proper fractions?

Proper fractions are fractions having a numerator that is smaller than the denominator.A proper fraction is when its numerator is less than its denominator as for example 3/4


What fractions are greater than 0 and less than 1?

Proper fractions.


Are mixed numbers less than proper fractions?

No.


Are proper fractions less than one?

yes


What is proper fractions?

A proper fraction is when the numerator is less than the denominator as for example 3/4


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.


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


What is kinds of fraction?

There are proper fractions, where the numerator is less than the denominator, and improper fractions where the denominator is greater than or equal to the numerator.


What is 3.78 as a proper fraction?

Proper fractions are less than one but as an improper fraction in its lowest terms it is 189/50


What is 1.96 as a proper fraction?

Proper fractions are less than 1 but as an improper fraction in its lowest terms it is 49/25


What is 1 over 15 as improper fractions?

1/15 is a proper fraction. Proper fractions can't become improper fractions. It wouldn't be proper.


All proper fractions with the denominator 3?

Proper fractions are when the numberator is less than or equal to the denominator. So, the only three fractions that can be proper with the denominator as three are: 1/3, which equals approx. 0.333333333 2/3, which equals approx. 0.666666667 3/3, which equals 1.


What are tha different kinds of fraction?

there are 3 types of fractions proper,improper,mixed proper fractions:-numerator is less than denominator like-2/3,5/7,6/9 improper fractions:- numerator is greater than denominator like-3/2,5/4,9/7 mixed fractions:-always improper fractions are converted to mixed fractions,mixed fractions are combination of proper fractions and whole numbers like-2.2/7,5.3/7


What is the simalarites betweenproer and improper fractions?

Both proper and improper fractions have a numerator and a denominator. In a proper fraction the numerator is always less than the denominator. In an improper function the numerator is greater than the denominator


What is 4.25 as a proper fraction?

4.25 can't be a proper fraction. Proper fractions are less than one. 425/100 reduces to 17/4


How do you change 16.5 into a proper fraction?

Can't be done. Proper fractions are, by definition, less than one. 16.5 is greater than one.


What are improper and proper fractions?

In a proper fraction, the numerator is less than the denominator. In an improper fraction, the numerator is equal to or greater than the denominator.


What are the different forms of fractions?

1. Proper Fractions where the numerator is less than denominator. 2. Improper Fractions or top-heavy fractions where the numerator is greater than denominator.


What are the types of fraction?

Proper fractions ... numerator is less than the denominator. 3/8 Improper fractions ---- numerator is greater than the denominator.


What are regular fractions?

Regular fractions are the fractions with a numerator that is less than the denominator and irregular fractions are fractions with a denominator less than the numerator.

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