This week Andres will practice with his band for \large 1 1/2 hours on Monday, 1 3/4 hours on Tuesday, and 2 hours on Wednesday. Next week Andres will practice with his band for the same number of hours on Monday, Tuesday, and Wednesday. What is the total number of hours Andres will practice with his band over these 6 days?
For the first week, just add
1 1/2 + 1 3/4 + 2
Since the second week is the same, just double your answer.
2
To find the total number of hours Andres will practice with his band over these 6 days, we need to add up the number of hours on each day.
We know that Andres will practice for 1 1/2 hours on Monday, 1 3/4 hours on Tuesday, and 2 hours on Wednesday, for a total of:
1 1/2 + 1 3/4 + 2 = 3/2 + 7/4 + 2 = 3/2 + 14/4 + 2 = 3/2 + 14/4 + 8/4
To add these fractions, we need to have a common denominator.
The least common denominator (LCD) of 2 and 4 is 4. So, we need to convert the fractions to have a denominator of 4.
- For 3/2, we can multiply both the numerator and denominator by 2 to get 6/4.
- For 14/4, the denominator is already 4.
- For 8/4, the denominator is already 4.
Now that we have a common denominator, we can add the fractions:
6/4 + 14/4 + 8/4 = 28/4 = 7
Therefore, Andres will practice a total of 7 hours over these 6 days.