Alana practice dancing 11/4 hours on Monday 19/8 hours on Wednesday and 2.6 hours on Friday on which day did she practice the closest to 2 hours explain your reasoning.

On Wednesday

Step-by-step explanation:

In this question, We have Alana practicing for three days. We now need to know in which of the days has she practiced closest to 2 hours. Hence, what we are to do here is simply find which of the practicing hours is nearest to 2hours.

The best thing to do here is to work with minutes. Hence whatsoever fraction we are having would be worked with based on minutes. Let's do this!

On Monday, she practiced 11/4 hours. This means she practiced 11/4 * 60 minutes = 165 minutes

On Tuesday, practice was for 19/8 hours. This means she had practiced for 19/8 * 60 = 142.5 minutes

Lastly, on Wednesday, her practice time was 2.6 hours and that is 2.6 * 60 = 156 minutes

Kindly note that 2 hours is same as 120 minutes. We just need to know which of these minutes is closest to 120 minutes. From what we have, 142.5 is the closest.

This means that her practice on Wednesday is the closest to two hours.

Step-by-step explanation:

Days and hours Alani practiced dancing:

11/4 hours on Monday

19/8 hours on Wednesday

2.6 hours on Friday

Finding the decimals of the hours on each day,

11/4 hours on Monday

= 2.75 hours

19/8 hours on Wednesday

= 2.375 hours

2.6 hours on Friday

From the decimals given, the day closest to 2 hours that is the day with the hours that can be rounded off to 2 hours.

The answer is Wednesday = 2.375 hours.