Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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Simplify the following expression: (2/7) / (5/6).

  1. A. 2/5

  2. B. 35/15

  3. C. 5/21

  4. D. 12/35

The correct answer is: D. 12/35

To simplify the expression (2/7) / (5/6), you can follow the process of dividing fractions, which involves multiplying the first fraction by the reciprocal of the second fraction. The reciprocal of (5/6) is (6/5). Therefore, the expression becomes: (2/7) * (6/5). Now, you can multiply the numerators together and the denominators together: Numerator: 2 * 6 = 12 Denominator: 7 * 5 = 35 This results in the fraction 12/35. Thus, the simplified form of (2/7) / (5/6) is 12/35, which is the correct answer. By following the multiplication of fractions and simplifying, you arrive directly at the final answer, demonstrating a clear approach to working with fractional division.