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Perhaps best, before going in to explain some examples of Fraction Multiplication, is to briefly review the very definition of this operation, in order to understand each of these exercises within its precise context.
Multiplication of fractions
In this sense, you can then begin to say that Fraction Multiplication is defined by Mathematics as an operation in which it is a matter of calculating what is the resulting product of adding a fraction, which makes the role of multiplying, as many times as indicated by a second fraction, which serves as a multiplier, hence this operation is also understood as an abbreviated sum.
Steps to solve a fraction multiplication
Thus it will also be necessary to describe what is the method or steps or to follow when resolving such an operation, where there will be no procedural distinction between homogeneous fractions (with the same denominator) and heterogeneous fractions (with different elements, i.e. numerators and denominators). In this way, when solving one of these operations, the following should be done:
1.- The numerator of the first fraction will be multiplied by the numerator of the second, getting a product to be annotated as a numerator of the resulting fraction.
2.- Secondly, the value of the denominator of the first fraction will be multiplied by the denominator of the second fraction, then the result will be noted as the denominator of the fraction obtained as the resulting.
3.- Finally, when reviewing the elements originating from multiplication, it will be searched if they have a common divider, which allows then to simplify the fraction, in order to achieve its irreducible expression.
Example of Fraction Multiplication
However, some examples may still be needed to see in a practical way how these Fraction Multiplication operations are resolved, such as the following:
Solve the following fraction multiplication:
To solve this fraction, each of the elements of the first fraction must then be multiplied by the even element of the second fraction. In this way, the numerator of the first fraction will be multiplied by that of the second, and the denominator of the first fraction will be multiplied by that of the second. Likewise, care should be taken to take into account the signs of the numbers involved, which will be resolved on their part by taking the Sign Act:
Obtained the result, it will be searched if it is possible to simplify the result, obtained, for which then a common divider will be determined:
Unable to continue simplifying, it is assumed that this is the irreducible fraction, so the final result of the operation is then considered.
Among the other exercises that can serve as an example of the multiplication of fractions, you will find the following, where you can also see how the participating fractions are multiplied horizontally, taking into account their signs, and obtaining a product, which if possible should be simplified:
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September 22, 2019