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Q: Is the quotient of to proper fractions is always a proper fraction?

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No.

(1/2) / (1/3) = 3/2 = 11/2, which is not a proper fraction.

Any fraction divided by a smaller fraction will do the trick. 1/3 divided by 1/4 is 4/3 which is 11/3

Some similarities of proper fraction and improper fraction are that they are both fractions.

By definition, you can't convert between proper and improper fractions. You can convert improper fractions to mixed fractions, and vice versa.

Yes, every unit fraction is proper fraction because a proper fraction is a fraction in which the numerator is smaller than denominator. So the set of all unit fractions are also proper fractions.

Dissimilar fractions may or may not be proper fractions.

40/48 is a proper fraction. Proper fractions can't be improper fractions; it wouldn't be proper.

7/6 is an improper fraction. Improper fractions can't be proper fractions. It wouldn't be proper.

4/6 is a proper fraction. Proper fractions can't become improper fractions.

Mixed fractions can't become proper fractions. Mixed fractions are greater than one.

4/5 is a proper fraction. Proper fractions can't become improper fractions; it wouldn't be proper.

Improper fractions can't become proper fractions.

1/35 is a proper fraction. Proper fractions can't be improper.

Improper fractions cannot become proper 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

These fractions are called proper fractions.

No. 5/8+5/8=10/8=1 1/4First of all it is not reduced and secondly it is an improper fraction.We normally call what you have said a common fraction.

no

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

A proper fraction is one fraction in which the numerator is smaller than the denominator. Dissimilar fractions are two or more fractions whose denominators are different (dissimilar).

It is best to convert the mixed fraction to an improper fraction. They are then added together in the same way as proper fractions are added together.

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

No. Equivalent fractions applies to proper fractions. Getting an equivalent fractions means getting the same value of the part of a whole.

Improper fractions and proper fractions are mutually exclusive; one can't be the other.