You are on an academic committee tasked to evaluate state employment math test questions. The following question has come to the attention of the committee: "Each of the four digits 3, 4, 5, and 8 is placed in one of the boxes to form a fraction. The numerator and the denominator are two-digit whole numbers. What is the smallest value of all the common fractions that can be formed? Express your answer as a reduced fraction." There are 4 boxes arranged in a square with 2 boxes side-by-side directly on top of the other 2 boxes. There is a horizontal line representing a fraction bar separating the top 2 boxes from the bottom 2 boxes. Some committee members contend this is not a valid question. Solve the problem. (If there is no solution, enter NO SOLUTION.) Explain the solution to prove (or disprove) the question's validity. A) The question is valid because to make the fraction as small as possible, you make the numerator as small as possible and make the denominator as large as possible. B) The question is valid because to make the fraction as small as possible, you make the numerator as large as possible and make the denominator as small as possible. C) The question is valid because to make the fraction as small as possible, you make both the numerator and the denominator as small as possible. D)The question is valid because to make the fraction as small as possible, you make both the numerator and the denominator as large as possible.The question is not valid because there is no solution.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter10: Rounding Decimal Fractions And Equivalent Decimal And Common Fractions

Section: Chapter Questions

Problem 34A: Express the following decimal fractions as common fractions. Reduce to lowest terms. 34. 0.4

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You are on an academic committee tasked to evaluate state employment math test questions. The following question has come to the attention of the committee:

"Each of the four digits 3, 4, 5, and 8 is placed in one of the boxes to form a fraction. The numerator and the denominator are two-digit whole numbers. What is the smallest value of all the common fractions that can be formed? Express your answer as a reduced fraction."

There are 4 boxes arranged in a square with 2 boxes side-by-side directly on top of the other 2 boxes. There is a horizontal line representing a fraction bar separating the top 2 boxes from the bottom 2 boxes.

Some committee members contend this is not a valid question.

Solve the problem. (If there is no solution, enter NO SOLUTION.)

Explain the solution to prove (or disprove) the question's validity.

A) The question is valid because to make the fraction as small as possible, you make the numerator as small as possible and make the denominator as large as possible. B) The question is valid because to make the fraction as small as possible, you make the numerator as large as possible and make the denominator as small as possible. C) The question is valid because to make the fraction as small as possible, you make both the numerator and the denominator as small as possible. D)The question is valid because to make the fraction as small as possible, you make both the numerator and the denominator as large as possible.The question is not valid because there is no solution.

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