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A certain prime x is divided by 5 to get a fraction. Then its numerator is increased by 4 and its denominator doubled, after which the resulting fraction is reduced. The denominator of the result is odd. What is x?

1) 7 2) 5 3) 4 4) 3 5) 2

Answer: First, eliminate 4 as it is not a prime. Then either plug the choices in or notice that will have an odd denominator only if is even, which identifies as 2. The correct answer is E.

My question: If the initial fraction is 2/5 aka 4/10 and the changed/ resulting fraction is 6/10 (2+4 and double denominator), how has the resulting fraction been reduced?

Do you think our wording is wrong? If yes, could you please suggest any improvements? The fraction \frac{6}{10} is reduced to \frac{3}{5}: \frac{6}{10}=\frac{\cancel{2}*3}{\cancel{2}*5}. _________________

Thank you dzyubam for your response. I understand now what "reduced" means but I did assume it meant the resulting fraction was smaller. No I do not have any suggestions other than eliminating the "reduced" altogether and making the testers figure it out for themselves that the figure must be "reduced". Thank you.

Thank you dzyubam for your response. I understand now what "reduced" means but I did assume it meant the resulting fraction was smaller. No I do not have any suggestions other than eliminating the "reduced" altogether and making the testers figure it out for themselves that the figure must be "reduced". Thank you.

Agree, the wording is confusing. _________________

Trying to make CR and RC my strong points

"If you want my advice, Peter," he said at last, "you've made a mistake already. By asking me. By asking anyone. Never ask people. Not about your work. Don't you know what you want? How can you stand it, not to know?" Ayn Rand