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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When dividing 7/2 by 22/5, what is the simplified answer?

  1. 15 1/2

  2. 16

  3. 14 1/2

  4. 15

The correct answer is: 15 1/2

To solve the problem of dividing \( \frac{7}{2} \) by \( \frac{22}{5} \), you can rewrite the division of fractions as multiplication by the reciprocal. This means that the problem can be expressed as: \[ \frac{7}{2} \div \frac{22}{5} = \frac{7}{2} \times \frac{5}{22}. \] Now, perform the multiplication of the numerators and the denominators: \[ \frac{7 \times 5}{2 \times 22} = \frac{35}{44}. \] Next, to convert \( \frac{35}{44} \) into a mixed number, you divide 35 by 44. Since 35 is less than 44, the quotient is 0, and we can use the fraction directly as it stands since it's already in its simplest form. However, if you were to convert it back into its decimal form, you would recognize that it doesn't simplify to a whole number or a neat fraction. But if the answer choices suggest there might be an approximate value considering division context, note that approximating the decimal form helps, which rounds to about 0.