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Grace is a singer and needs to practice one-sixth hours a day to keep her voice. If she has practiced 2 hours so far today, what fraction of her practice has she done today? Simplify your answer and write it as a proper fraction or as a whole or mixed number.

a. 1/6
b. 1/3
c. 5/6
d. 4/5

User PieBie
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1 Answer

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Final answer:

Grace has completed 2 times her required practice, as she practiced 12 one-sixth hour segments and only needed one segment for her daily practice. The answer is 12/1 divided by 6/1, which equals 2.

Step-by-step explanation:

Grace needs to practice for one-sixth of an hour each day to maintain her vocal skills. If she practices for 2 hours, we need to calculate the fraction of her daily practice she has completed. First, we need to determine how many one-sixth hours are in 2 hours.

There are 6 one-sixth hours in one hour, so in 2 hours, there would be 2 × 6 = 12 one-sixth hours. Since Grace has practiced for 2 hours and each hour contains 6 one-sixth segments, she has done 12 one-sixth segments of practice. Thus, she has completed 12/1 of her one-sixth hour practice sessions.

To express this as a proper fraction or a mixed number, we simply keep in mind that 12 one-sixth hours mean Grace has done twelves times of her required daily practice. 12/1 divided by 6/1 (which is one-sixth in fraction form) gives us the solution: 12 divided by 6 = 2. Therefore, Grace has completed her practice 2 times over the required amount.

User Vatsal K
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