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Question
it takes anas dance group \\(\frac{3}{12}\\) of an hour to practice their routine. the dance group practices the routine 9 times this week. find the number of hours the dance group practices the routine this week. the answer is between which two whole numbers? a 0 and 1 b 1 and 2 c 2 and 3 d 3 and 4
Step1: Simplify the fraction
First, simplify $\frac{3}{12}$ to $\frac{1}{4}$ (since both numerator and denominator are divisible by 3).
Step2: Calculate total practice time
Multiply the time per practice ($\frac{1}{4}$ hour) by the number of practices (9). So, $\frac{1}{4} \times 9 = \frac{9}{4} = 2.25$ hours.
Step3: Determine the whole numbers
We see that $2 < 2.25 < 3$, so the answer is between 2 and 3.
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C. 2 and 3