Improper fractions

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Improper fractions are those with a numerator greater than the denominator.

That is, an improper fraction is dividing a number into equal parts that are less than the whole.

For example we have the following cases:

We must note that improper fractions have the peculiarity that they are equivalent to a number greater than unity. We can observe it in the following example:

It is also worth remembering that we can define a fraction as the division of a number into equal parts. It is normally constituted (if it is not mixed) only by two numbers, both separated by a straight or inclined line. The top number is the numerator, while the bottom number is called the denominator.

An improper fraction is the opposite of a proper fraction, which is one that has a numerator less than the denominator.

Convert an improper fraction to a mixed fraction

An improper fraction can become a mixed fraction. That is, in one that has an integer and a fractional component.

To do the conversion, we must divide the numerator by the denominator of the improper fraction. Thus, the resulting quotient will be the integer part of the new fraction, and the remainder will be the numerator, while the denominator will remain the same. Let's better see an example:

Suppose we have the improper fraction 17/3. To make the conversion we would have to do the respective division:

As a result of operation 5 is the quotient and 2 is the remainder. Therefore, the mixed fraction equivalent to 17/3 would be:

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