High School Placement Test (HSPT) Practice Test

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Prepare for the High School Placement Test. Utilize resources with multiple-choice questions, detailed solutions, and expert tips. Ace your exam!

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What is the simplified ratio of 6 ounces to 3 pounds?

  1. 1/4

  2. 1/8

  3. 1/2

  4. 2/3

The correct answer is: 1/8

To simplify the ratio of 6 ounces to 3 pounds, it's essential to first convert both measurements to the same unit. Since there are 16 ounces in a pound, 3 pounds can be converted to ounces by multiplying: 3 pounds × 16 ounces/pound = 48 ounces. Now the ratio can be expressed as 6 ounces to 48 ounces. Next, this ratio can be simplified by dividing both parts of the ratio by their greatest common factor, which in this case is 6: 6 ounces ÷ 6 = 1, 48 ounces ÷ 6 = 8. This gives us the simplified ratio of 1 ounce to 8 ounces. Thus, the ratio of 6 ounces to 3 pounds simplifies to 1/8 when expressed as a fraction. Therefore, the correct answer is indeed 1/8. This clear conversion and simplification process shows how to accurately determine the ratio when different units are initially involved.