Questions: Fill in the blanks. A. If we want to cancel an expression from a fraction, we must be able to Select an answer it from numerator and denominator. B. When we factor an expression, we write it as a Select an answer. C. If a factor appears in both numerator and denominator, it is called a Select an answer factor. D. If all the factors in the numerator or denominator cancel out, we replace it by Select an answer.

Solution Steps

To solve the fill-in-the-blank questions, we need to understand the context of each statement and select the appropriate mathematical term that fits.

A. To cancel an expression from a fraction, it must be present in both the numerator and the denominator. B. Factoring an expression means writing it as a product of its factors. C. A factor that appears in both the numerator and the denominator is called a common factor. D. If all factors in the numerator or denominator cancel out, we replace it by 1.

In the context of fractions and algebra, we need to identify the correct mathematical terms that fit into the provided statements. Each statement relates to fundamental concepts in algebra involving fractions and factoring.

• A: To cancel an expression from a fraction, it must be present in both the numerator and the denominator. Thus, the term that fits here is \( \text{cancel} \).
• B: When we factor an expression, we write it as a product of its factors. Therefore, the appropriate term is \( \text{product of factors} \).
• C: A factor that appears in both the numerator and the denominator is referred to as a \( \text{common} \) factor.
• D: If all factors in the numerator or denominator cancel out, we replace it by \( 1 \).

Final Answer