Answer:
10.5 hours
Step-by-step explanation:
Given:
This week Andres will practice with his band for
[tex]1\frac{1}{2} \ means\ \frac{3}{2} \ hours[/tex] on Monday
[tex]1\frac{3}{4} \ means\ \frac{7}{4} \ hours[/tex] on Tuesday
2 hours Wednesday.
Next week Andres will practice with his band for the same number of hours on Monday, Tuesday, Wednesday.
Question asked:
What was the total number of hours Andres will practice with his band over these 6 days?
Solution:
As she practice for two weeks, three days of each week:
On two Monday, she will practice = [tex]\frac{3}{2} + \frac{3}{2} =\frac{3+3}{2} =\frac{6}{2} =3\ hours[/tex]
On two Tuesday, she will practice = [tex]\frac{7}{4} +\frac{7}{4}=\frac{7+7}{4} =\frac{14}{4} =\frac{7}{2} \ hours[/tex]
On two Wednesday, she will practice = [tex]2+2=4 \ hours[/tex]
Total hours, she will practice over 6 days [tex]=3+\frac{7}{2} +4[/tex]
[tex]=7+\frac{7}{2} \\ \\ =\frac{2\times7+7}{2} \\ \\ =\frac{21}{2} \\ \\ =10.5\ hours[/tex]
Thus, Andres will practice 10.5 hours with his band over these 6 days.
The total number of hours andres will practice with his band over these 6 days is 10 1/2 hours
Given:
Day 1 = 1 1/2 hours
Day 2 = 1 3/4 hours
Day 3 = 2 hours
The total number of hours for six days = 2(1 1/2) + 2(1 3/4) + 2(2)
= 2(3/2) + 2(7/4) + 4
= 6/2 + 14/4 + 4
= 3 + 14/4 + 4
= 7 + 14/4
= (28+14) / 4
= 42 / 4
= 10 2/4
= 10 1/2 hours
Therefore, the total number of hours andres will practice with his band over these 6 days is 10 1/2 hours
Learn more about addition of fraction:
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