It usually takes Amalie 1 3/4 hours to get to her aunt's house. Due to Thanksgiving traffic, this year it took 3 1/3 hours. How much longer did it take this year?
1 3/4 = 1 9/12
3/1/3 = 3 4/12 = 2 16/12
2 16/12 - 1 9/12 = ?
1/12
To find out how much longer it took Amalie to get to her aunt's house this year compared to the usual time, we need to calculate the difference between the usual time and the time it took this year.
First, let's convert the time stated in mixed numbers to improper fractions for easier calculations:
Usual time = 1 3/4 hours
This year's time = 3 1/3 hours
To convert them to improper fractions, we multiply the whole number by the denominator, then add the numerator:
Usual time = (1 * 4 + 3) / 4 = 7/4 hours
This year's time = (3 * 3 + 1) / 3 = 10/3 hours
Now, we can subtract the usual time from this year's time:
Difference = 10/3 - 7/4
To subtract fractions, we need a common denominator. In this case, the least common multiple (LCM) of 3 and 4 is 12.
Difference = (10/3) * (4/4) - (7/4) * (3/3)
Difference = 40/12 - 21/12
Difference = (40 - 21) / 12
Difference = 19/12 hours
Now, let's simplify the fraction. The greatest common divisor (GCD) of 19 and 12 is 1.
Difference = 19/12 hours
Therefore, it took 19/12 hours longer this year for Amalie to get to her aunt's house compared to the usual time.