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  3. Which of the following operations carried out on both the numerator and the denominator of a fraction will always produce an equ

Which of the following operations carried out on both the numerator and the denominator of a fraction will always produce an equ

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问题 Which of the following operations carried out on both the numerator and the denominator of a fraction will always produce an equivalent fraction? Indicate all such operations.
选项 A、Adding 2
B、Multiplying by 5
C、Dividing by 100
答案B，C
解析 Multiplying both the numerator and the denominator of a fraction by the same nonzero number is equivalent to multiplying the fraction by 1, thus producing an equivalent fraction. The same is true for division. However, adding the same number to both the numerator and denominator does not usually produce an equivalent fraction. Here is an example:

Thus the correct answer consists of Choices B and C.
This explanation uses the following strategy.
Strategy 13: Determine Whether a Conclusion Follows from the Information Given
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