What can be cancelled out in the multiplication of two or more fractions?

Prepare for the 5th Class Power Engineering Exam with comprehensive flashcards and multiple-choice questions. Each question includes hints and explanations. Get exam-ready!

In the context of multiplying fractions, factors can be canceled out when simplifying the expression before performing the multiplication. A factor is a number or expression that divides another number or expression evenly, and in the case of fractions, it refers specifically to the numerator and denominator of the fractions being multiplied.

When you multiply two or more fractions, you multiply their numerators together and their denominators together. If a numerator and a denominator share a common factor, that factor can be canceled out, simplifying the multiplication process. This reduces the complexity of the multiplication and often makes it easier to calculate the result.

For instance, consider multiplying the fractions 2/3 and 3/4. Before multiplying, you can see that 3 (the numerator of the second fraction) and 3 (the denominator of the first fraction) can be canceled out, leading to a simplified calculation of (2 * 1) / (1 * 4), which equals 1/2.

Although terms, integers, and variables play roles in mathematics, they are not specifically referred to in the context of cancellation during the multiplication of fractions. Only factors that appear in both the numerator and denominator can be canceled out to simplify the operation.

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