Final answer:
Statements B and C are valid ways to convert a percent to a fraction by either writing the percent over 100 directly or dividing it by 100, then simplifying. Statements A and D are incorrect methods for converting percentages to fractions.
Step-by-step explanation:
To answer which statements describe valid ways to rewrite a percent as a fraction, let's review each option given in the question:
- B. Write a fraction using the percent over 100 and simplify. This is correct because a percent is defined as a part of 100. For example, to convert 25% to a fraction, write it as 25/100 which simplifies to 1/4.
- C. Divide the percent by 100, write it as a fraction, and simplify. This also is a valid method because dividing by 100 essentially places the percent value over 100, which can then be converted to a fraction. If you have 45%, dividing by 100 gives you 45/100 which simplifies to 9/20.
However, the other options provided are incorrect for the following reasons:
- A. Writing a fraction using the percent over 10 is incorrect because a percent represents a part out of 100, not 10. Thus, this method would not yield the correct fraction.
- D. Multiplying the percent by 100 is incorrect; it would actually increase the value by a factor of 100, which is not the correct process for converting a percent to a fraction.