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mr. gartland writes this expression. 3/4 ÷ 2 1/2. he asks his students to write a word problem that could be solved using the expression? choose yes or no for each word problem a. a cook has 2 1/2 of pounds of vegtables she uses 3/4 of this to make soup. how many pounds of vegtables does she have left? b. A rectangular of land has an area of 3/4 square mile. the land is 2 1/2 miles long. what is its width ? c. devon drives 3/4 the distance to his house in 2 1/2 hours. at this speed, how long will the entire trip take. d. Tess has 2 1/2 cups of fruits. how many 3/4- cup servings can she make.

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Final answer:

The expression 3/4 ÷ 2 1/2 can be used to solve problems that involve dividing a whole quantity (2 1/2) into smaller fractional portions (3/4). In this context, word problems b. and d. can be solved using this expression.

Step-by-step explanation:

Answering the original question posed, whether each problem can be solved by the expression 3/4 ÷ 2 1/2:

  1. No, that problem is about subtraction, not division.
  2. Yes, the expression given can be used to solve it since it involves division.
  3. No, the division by 3/4 doesn't fit with this word problem.
  4. Yes, since the expression is about finding how many 3/4 cups fit into 2 1/2 cup.

The expression 3/4 ÷ 2 1/2 works for problems where a whole (2 1/2) is divided into partial fraction portions (3/4). These include situations like determining how many smaller amounts (3/4) can fit into a larger quantity (2 1/2), as shown in examples b and d.

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