Before setting out some examples of the correct way to resolve a fractional splitting operation, **it may be best to bring to the chapter the definition of this operation,** as this will allow us to understand in its precise context each of the above exercises.

## Fractional division

Therefore, it can be said that Mathematics has defined the fractional division as the operation by which it is a question of determining how many times it is within a fraction, which will make the times of Dividend, **a second expression fractional, which will serve as Divider,** in order to obtain a result, which will in turn be known as Quotient.

## Steps to Solve a FractionAl Division

Similarly, as regards the appropriate way of resolving a fractional division operation, the various sources point out that in this procedure, as with regard to Fraction multiplication, **there will be no need to discriminate between homogeneous and heterogeneous fractions,** but simply cross multiplication. **However, it is best to review step by step, the ideal way to solve the Fractional Division:**

- Once the elements and the proposed operation have been reviewed, the cross operation must then begin to be applied,
**for which the numerator of the first fraction will be multiplied by the denominator of the second,**annotating the result as a numerator of the product. - To continue the solution of this operation,
**the denominator of the first fraction will be multiplied by the numerator of the second fraction,**then annotating the result obtained as the denominator of the product. - Obtained the fraction resulting from cross multiplication,
**it will be checked whether there is a common divider for the two elements,**in order to simplify the fraction, achieving its most irreducible form.

## Examples of Fraction Division

However, it may be best to set out a specific example, where you can see in practice the application of each of these steps, which Mathematics considers to be the correct method when solving fractional division operations, **such as the following:**

**Resolve the following fractional division:**

When you start to solve this division, i**t will then be necessary to perform cross multiplication:**

Obtained the product, it shall be determined whether it is possible to further reduce this fraction,** so it shall try to find a common divider:**

Reaching this result, it will be assumed that there is no other number that can serve as the common divider of the expression,** so then, this fraction will be understood as an irreducible expression,** as well as the final product of this division operation.

## Other examples

Thus, below are other examples that can be given in relation to the correct way of solving divisions between fractions, **through the method of cross multiplication, and subsequently the simplification of fractions,** you will find the the following, which also demonstrate how the sign law should be applied** in the event of numerators possessing a negative sign and other positive signs:**

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September 22, 2019