If you walk 8/9 mile and then jog 1/7 mile what is the total distance covered how much farther did you walk then jog
here hope this is helpful
If I walked 7/8 mile and then jogged 4/9 mile, What is the total distance covered?
How much farther did I walk vs. jog?
Step 1: Find a Common Denominator : (1/8)(1/9) = 1/72
Step 2: use 72 as common denominator
Total Distance
=(7)(9)/72 + (4)(8)/72
= 63/72 + 32/72
= 0.875 miles +0.444 miles = 1.319
Walked = 63/72 = 0.875 miles
-Jogged = 32/72 = 0.444
0.431 miles : this is how much farther walked than jogged
To find the total distance covered, add the distance walked to the distance jogged:
Distance walked = 8/9 mile
Distance jogged = 1/7 mile
Total distance covered = Distance walked + Distance jogged
Total distance covered = 8/9 mile + 1/7 mile
To add these fractions, we need to find a common denominator. The least common multiple of 9 and 7 is 63.
Rewriting the fractions with the common denominator:
Total distance covered = (8/9)*(7/7) mile + (1/7)*(9/9) mile
Total distance covered = 56/63 mile + 9/63 mile
Total distance covered = (56 + 9)/63 mile
Total distance covered = 65/63 mile
To find out how much farther you walked than jogged, subtract the distance jogged from the distance walked:
Difference = Distance walked - Distance jogged
Difference = 8/9 mile - 1/7 mile
Difference = (8/9)*(7/7) mile - (1/7)*(9/9) mile
Difference = 56/63 mile - 9/63 mile
Difference = (56 - 9)/63 mile
Difference = 47/63 mile
So, the total distance covered is 65/63 mile and you walked 47/63 mile farther than you jogged.
To find the total distance covered, we need to add the distance walked and the distance jogged.
Distance walked: 8/9 mile
Distance jogged: 1/7 mile
To add these fractions, we need to find a common denominator.
The least common multiple (LCM) of 9 and 7 is 63, so we'll use that as our common denominator.
First, we need to convert both fractions to have the same denominator:
Distance walked: (8/9) x (7/7) = 56/63 mile
Distance jogged: (1/7) x (9/9) = 9/63 mile
Now we can add the fractions:
Total distance covered: (56/63) + (9/63) = 65/63 mile
To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 65 and 63, which is 1.
Total distance covered: 65/63 mile
To find how much farther you walked than jogged, we subtract the distance jogged from the distance walked:
Distance walked - Distance jogged = (56/63) - (9/63) = 47/63 mile
Again, we can simplify this fraction by dividing both the numerator and denominator by their GCD (which is 1 in this case):
Distance walked - Distance jogged: 47/63 mile
Therefore, the total distance covered is 65/63 mile and you walked 47/63 mile farther than you jogged.