High School Placement Test (HSPT) Practice Test

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Prepare for the High School Placement Test (HSPT) with our quiz. Utilize flashcards and multiple choice questions, each with hints and explanations. Set yourself up for success on test day!

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What is the simplified ratio of 6/20, 8?

The correct answer is: 1/8

To simplify the ratio of 6/20 and 8, you first express both quantities in a comparable format. The fraction 6/20 can be simplified to its lowest terms. The greatest common divisor of 6 and 20 is 2, so when you divide both the numerator and denominator by 2, you get: 6 ÷ 2 = 3 20 ÷ 2 = 10 Thus, 6/20 simplifies to 3/10. Now, you create a ratio of this simplified fraction, 3/10, to 8. To express this as a single fraction, you denote it as: (3/10) : 8 In fraction form, this can be written as: (3/10) / 8 To divide a fraction by a whole number, you multiply the denominator of the fraction by that whole number: (3/10) / (8/1) = 3/10 × 1/8 = 3/(10 × 8) = 3/80. Next, to simplify this resulting ratio, you can compare it to a simpler fraction form. If you look for a common numerical representation, you will eventually find that this