Find each product or quotient where possible. 12/13 / -4/3
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Division of Fractions
Dividing fractions involves multiplying by the reciprocal of the divisor. For example, to divide 12/13 by -4/3, you would multiply 12/13 by the reciprocal of -4/3, which is -3/4. This process simplifies the division into a multiplication problem, making it easier to solve.
When multiplying fractions, you multiply the numerators together and the denominators together. For instance, in the expression (12/13) * (-3/4), you would calculate 12 * -3 for the numerator and 13 * 4 for the denominator, resulting in a new fraction that can be simplified if necessary.
Simplifying fractions involves reducing them to their lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). For example, if the result of a multiplication yields a fraction like -36/52, you would find the GCD of 36 and 52, which is 4, and divide both by 4 to simplify it to -9/13.