Here are the essential concepts you must grasp in order to answer the question correctly.
Fractions
Fractions represent a part of a whole and are expressed as a ratio of two integers, where the numerator is the top number and the denominator is the bottom number. Understanding how to manipulate fractions, including addition, subtraction, multiplication, and division, is essential for solving problems involving them. In this context, recognizing how to find products and quotients of fractions is crucial.
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Multiplication of Fractions
To multiply fractions, you multiply the numerators together and the denominators together. For example, multiplying 12/13 by -4/3 involves calculating (12 * -4) for the numerator and (13 * 3) for the denominator. This process simplifies the multiplication of fractions into a straightforward arithmetic operation, yielding a new fraction as the result.
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Division of Fractions
Dividing fractions involves multiplying by the reciprocal of the divisor. For instance, to divide 12/13 by -4/3, you would multiply 12/13 by the reciprocal of -4/3, which is -3/4. This concept is fundamental in fraction operations and allows for the simplification of complex fraction problems into manageable calculations.
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