On Monday, Carlos ran 1/8 of a mile. On Wednesday, he ran 5/6 of a mile. Carlos ran 3/8 of a mile on Friday. Which day did Carlos run farthest?
Change these fractions to equivalent fractions with a common denominator.
Or
Change these fractions to decimals.
What do you get?
To determine which day Carlos ran farthest, we need to compare the distances he ran on Monday, Wednesday, and Friday.
We are given that Carlos ran 1/8 of a mile on Monday, 5/6 of a mile on Wednesday, and 3/8 of a mile on Friday.
To compare these distances, we need to find a common denominator for these fractions. The least common multiple (LCM) of 8, 6, and 8 is 24.
Now, let's convert each fraction to have a denominator of 24:
1/8 * (3/3) = 3/24
5/6 * (4/4) = 20/24
3/8 * (3/3) = 9/24
Now, we can see that Carlos ran:
- 3/24 of a mile on Monday
- 20/24 of a mile on Wednesday
- 9/24 of a mile on Friday
By comparing the fractions, we can determine that Carlos ran farthest on Wednesday when he ran 20/24 of a mile.