If you walk5/6 mile and then jog 4/5 mile, what is the total distance covered? How much farther did you walk than jog?
5/6 = 25/30
4/5 = 24/30
Add these fractions.
Then subtract.
1/30
To find the total distance covered, you need to add the distances walked and jogged.
Distance walked: 5/6 mile
Distance jogged: 4/5 mile
To add these fractions, you need to find a common denominator. The least common multiple of 6 and 5 is 30.
Converting the fractions to have a denominator of 30:
Distance walked: (5/6) * (5/5) = 25/30 mile
Distance jogged: (4/5) * (6/6) = 24/30 mile
Now you can add the distances:
Total distance = Distance walked + Distance jogged
= (25/30) + (24/30)
= 49/30 mile
To find how much farther you walked than jogged, subtract the distance jogged from the distance walked:
Difference = Distance walked - Distance jogged
= (25/30) - (24/30)
= 1/30 mile
So, the total distance covered is 49/30 mile, and you walked 1/30 mile farther than jogged.
To find the total distance covered, you need to add the distance walked and the distance jogged. In this case, you walked 5/6 mile and jogged 4/5 mile.
To add fractions, you need a common denominator. The least common multiple (LCM) of 6 and 5 is 30. So, you can convert both fractions to have a denominator of 30.
To convert 5/6 to have a denominator of 30, multiply both the numerator and denominator by 5. This gives you (5/6) * (5/5) = 25/30.
To convert 4/5 to have a denominator of 30, multiply both the numerator and denominator by 6. This gives you (4/5) * (6/6) = 24/30.
Now that both fractions have a common denominator, you can add them: 25/30 + 24/30 = 49/30.
However, since this is a distance and distances cannot be negative or expressed as improper fractions, you need to simplify the answer. The fraction 49/30 can be simplified to 1 19/30.
So, the total distance covered is 1 and 19/30 miles.
To find how much farther you walked than jogged, subtract the distance jogged from the distance walked: 25/30 - 24/30 = 1/30.
Therefore, you walked 1/30 mile farther than you jogged.