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This is a convention that stems from the fact that it is easier to compare numbers whose denominators are rational. In terms of mathematics there is no difference between 1/sqrt(2) and sqrt(2)/2 but convention prefers the second form even though to me the second appears simpler .

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8y ago
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8y ago

There is no good reason other than that examination boards find it easier to compare fractions if the denominators are rational.

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Can 11 and 1 eighth be written as a proper fraction?

A fraction is made up of two parts: a numerator (top number) and a denominator (bottom number). There are 3 types of fractions: Proper, Improper, Mixed. A proper fraction is one where the numerator is smaller than the denominator. An improper fraction is one where the numerator is larger or equal to the denominator. A mixed fraction is one with a whole number and a proper fraction together. 11 1/8 is a mixed fraction, and can be written as the improper fraction 89/8. It is impossible to write it as a proper fraction because the numerator is larger than the denominator. Also, all mixed fractions are improper fractions and no improper fractions can be written as proper fractions.


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 forms can a rational number be in?

All rational numbers can be written as one integer (the numerator) over another integer (the denominator). If the numerator is less than the denominator, it is a vulgar (or common) fraction. If the denominator is 1, then only the numerator may be written in which case it may take the form of a whole number, eg 5/1 can also be written as 5. If the numerator equals the denominator, the fraction can be simplified to 1/1 which would be written as the whole number 1. If the numerator is greater than the denominator, then it is an improper (or top heavy) fraction and can be written as a mixed number which is a whole number along with a proper fraction (with the original denominator), eg 5/3 can also be written as 12/3 The denominator can be any non-zero integer, ie zero is not allowed to be the denominator of any fraction.


What is the difference in proper fractions and improper fractions?

Proper fractions are factions with a numerator lower than the denominator but an improper fraction has a greater numerator than the denominator


When the numerator is the same as the denominator is it a proper fraction?

Yes, it's a proper fraction. An improper fraction is a fraction where the numerator is higher than the denominator. Therefore, 4/4 is proper and 4/2 is improper.

Related questions

Can 11 and 1 eighth be written as a proper fraction?

A fraction is made up of two parts: a numerator (top number) and a denominator (bottom number). There are 3 types of fractions: Proper, Improper, Mixed. A proper fraction is one where the numerator is smaller than the denominator. An improper fraction is one where the numerator is larger or equal to the denominator. A mixed fraction is one with a whole number and a proper fraction together. 11 1/8 is a mixed fraction, and can be written as the improper fraction 89/8. It is impossible to write it as a proper fraction because the numerator is larger than the denominator. Also, all mixed fractions are improper fractions and no improper fractions can be written as proper fractions.


Does a proper fraction have a numerator larger than the denominator?

No, a proper fraction has a numerator smaller than the denominator.


Is the proper term lowest common denominator or least common denominator?

Both!


What do you call a fraction in which the numerator is less then the denominator?

A proper fraction.


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.


When the denominator is larger then the numerator?

proper fraction


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 the characteristics of an proper fraction?

A proper fraction has a numerator that is less than its denominator.


What forms can a rational number be in?

All rational numbers can be written as one integer (the numerator) over another integer (the denominator). If the numerator is less than the denominator, it is a vulgar (or common) fraction. If the denominator is 1, then only the numerator may be written in which case it may take the form of a whole number, eg 5/1 can also be written as 5. If the numerator equals the denominator, the fraction can be simplified to 1/1 which would be written as the whole number 1. If the numerator is greater than the denominator, then it is an improper (or top heavy) fraction and can be written as a mixed number which is a whole number along with a proper fraction (with the original denominator), eg 5/3 can also be written as 12/3 The denominator can be any non-zero integer, ie zero is not allowed to be the denominator of any fraction.


how to convert a non-proper fraction into a proper fraction?

Multiply the whole number by the denominator. Add the product to the numerator of the proper fraction. The sum is the numerator of the improper fraction. The denominator will stay the same.


What is the difference in proper fractions and improper fractions?

Proper fractions are factions with a numerator lower than the denominator but an improper fraction has a greater numerator than the denominator


What the fraction of 0.7 but same denominator as 4?

4 is an integer and so has denominator 1. 0.7 is a proper fraction and cannot have a denominator of 1.