Kaplan Nursing Entrance Practice Exam

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What is the result of dividing 12/17 by 6/7?

7/12
14/17
3/4
12/7

The correct answer is: 14/17

To find the result of dividing one fraction by another, you can multiply the first fraction by the reciprocal of the second fraction. In this case, you need to start with 12/17 and divide it by 6/7. First, take the reciprocal (which means flipping the fraction) of 6/7, resulting in 7/6. Next, multiply 12/17 by 7/6: (12/17) * (7/6) Now, you can multiply the numerators and the denominators: Numerator: 12 * 7 = 84 Denominator: 17 * 6 = 102 This gives you a new fraction: 84/102 Now, simplify this fraction by finding the greatest common divisor of 84 and 102, which is 12: 84 ÷ 12 = 7 102 ÷ 12 = 8.5 It appears there was a small misunderstanding in simplification there. Let's convert to simpler terms correctly: Both numbers can be divided again; you will also realize that both of them are actually divisible by 6: 84 ÷ 6 = 14 102 ÷ 6 = 17 So the simplified