John plans to practice piano at least 2 1/2
hours this weekend.
If he practices 1 1/6 hours on Saturday and 1 1/4 hours on Sunday, will he meet his goal?
First, we need to find the total number of hours John practiced over the weekend:
1 1/6 + 1 1/4 = 13/6 + 5/4
To add these fractions, we need a common denominator. The smallest common multiple of 6 and 4 is 12, so we can convert both fractions to twelfths:
13/6 = 26/12 and 5/4 = 15/12
Now we can add these fractions:
26/12 + 15/12 = 41/12
So John practiced 41/12 hours over the weekend. To see if he met his goal of practicing at least 2 1/2 hours, we need to convert this to a mixed number:
41/12 = 3 5/12
So John did meet his goal, practicing for a total of 3 hours and 5 minutes over the weekend.