Maggie is getting ready for the one-mile race in June. The first day of practice she ran 1/3 of a mile; the second day she ran 1/2 mile; the third day she ran 5/8 of a mile. Which is closest to her total mileage for the three days?
1/3 = 8/24
1/2 = 12/24
5/8 = 15/24
8/24 + 12/24 + 15/24 = 35/24 = 1 11/24
To find Maggie's total mileage for the three days, we need to add the distances she ran each day.
First day: 1/3 mile
Second day: 1/2 mile
Third day: 5/8 mile
To add fractions, we need a common denominator. In this case, the least common denominator for 3, 2, and 8 is 24.
1/3 mile is equivalent to (1/3) * (8/8) = 8/24 mile
1/2 mile is equivalent to (1/2) * (12/12) = 12/24 mile
5/8 mile is already in terms of 24, so no conversion is needed.
Now we can add the fractions:
8/24 + 12/24 + 5/24 = 25/24 mile
The total mileage for the three days is 25/24 mile. To determine which option is closest to the answer, we can convert it to a mixed number.
25/24 is equivalent to 1 1/24. Therefore, the nearest option to Maggie's total mileage is 1 mile.