Larry spent 12/15 hour doing hid assignments while Amado spent 3/4 hour. Who spent more time in doing his assignments? By how much more?
3/4 = .75
12/15 = .8
mmmhhh?
To compare the time Larry and Amado spent on their assignments, we need to find a common denominator for the fractions representing their time.
1. Find a common denominator for 12/15 and 3/4:
- The common denominator for 15 and 4 is 60, as both numbers are divisible by 15.
- To convert 12/15 to an equivalent fraction with a denominator of 60, we multiply both the numerator and denominator by 4: (12/15) * (4/4) = 48/60.
- To convert 3/4 to an equivalent fraction with a denominator of 60, we multiply both the numerator and denominator by 15: (3/4) * (15/15) = 45/60.
2. Now that we have the fractions with a common denominator of 60:
- Larry spent 48/60 hours on his assignments.
- Amado spent 45/60 hours on his assignments.
To determine who spent more time, we can compare the numerators of the fractions.
Larry spent 48/60 hours, which is greater than Amado's 45/60 hours. Therefore, Larry spent more time doing his assignments.
To find out how much more time Larry spent:
- Subtract Amado's time from Larry's time: 48/60 - 45/60 = 3/60.
- Simplify the fraction: 3/60 equals 1/20.
Larry spent 1/20 more hour doing his assignments than Amado.