Shella practiced 1-1/2 hours Monday, 3-3/4 hours Tuesday, and 2-1/2 hours Wednesday. What is the total number of hours that she practiced?
change your mixed fractions to
3/2 , 15/4 and 5/2
using a common denominator of 4, add them up
or, add up
1.5, 3.75, and 2.5
7 HOOURS AND 45 MIN
To find the total number of hours that Shella practiced, we need to add up the hours she practiced on each day.
On Monday, Shella practiced for 1-1/2 hours.
To add 1-1/2 to the total, we need to convert it to a common fraction.
1 is the same as 2/2, so 1-1/2 is equal to 2/2 - 1/2, which gives us 1/2.
So, Shella practiced for 1/2 hour on Monday.
On Tuesday, Shella practiced for 3-3/4 hours.
To add 3-3/4 to the total, we need to convert it to a common fraction.
3 is the same as 12/4, so 3-3/4 is equal to 12/4 - 3/4, which gives us 9/4.
So, Shella practiced for 9/4 hours on Tuesday.
On Wednesday, Shella practiced for 2-1/2 hours.
To add 2-1/2 to the total, we need to convert it to a common fraction.
2 is the same as 4/2, so 2-1/2 is equal to 4/2 - 1/2, which gives us 3/2.
So, Shella practiced for 3/2 hours on Wednesday.
To find the total, we add up the fractions:
1/2 + 9/4 + 3/2.
To do this, we need to find a common denominator.
The least common multiple of 2, 4, and 2 is 4.
Therefore, we need to convert all the fractions to have a denominator of 4.
1/2 is the same as 2/4.
9/4 is already in terms of the common denominator.
3/2 is the same as 6/4.
Now, we can add the fractions:
2/4 + 9/4 + 6/4 = 17/4.
So, the total number of hours that Shella practiced is 17/4 hours, or 4 and 1/4 hours.