Find each product or quotient where possible. 7/6 / -2/3
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1
Identify the operation: This problem involves division of two fractions: .
Recall the rule for dividing fractions: To divide by a fraction, multiply by its reciprocal.
Find the reciprocal of the divisor: The reciprocal of is .
Rewrite the division as multiplication: .
Multiply the numerators and the denominators: .
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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 7/6 by -2/3, you would multiply 7/6 by the reciprocal of -2/3, which is -3/2. 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 case of (7/6) * (-3/2), you would calculate 7 * -3 for the numerator and 6 * 2 for the denominator, resulting in a new fraction that can be simplified if necessary.
Multiply Polynomials Using the Distributive Property
Simplifying Fractions
Simplifying fractions involves reducing them to their lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). After performing the multiplication in the previous step, you may need to simplify the resulting fraction to present the answer in its simplest form.