If you walk 8/9 miles and then jog 1/2 mile, what is the total distance covered? How much farther did you walk than jog?
8/9 = 16/18
1/2 = 9/18
9/18 + 16/18 = 25/18 = 1 7/18 miles
16/18 - 9/18 = 7/18 mile
To find the total distance covered, you need to add the distance walked to the distance jogged. In this case, you walked 8/9 miles and jogged 1/2 mile.
To add these fractions, you need to ensure they have a common denominator. Since the denominator of 9 is already present, you can convert the fraction 1/2 to an equivalent fraction with a denominator of 9. To do this, you multiply the numerator and denominator of the fraction by 9:
1/2 = (1 * 9) / (2 * 9) = 9/18
Now, you can add the fractions:
8/9 + 9/18
To add the fractions, the denominators must be the same. Since 9 and 18 have a common multiple of 18, you can rewrite the fractions with a denominator of 18:
8/9 = (8 * 2) / (9 * 2) = 16/18
9/18 remains the same.
Now, you can add the fractions:
16/18 + 9/18 = (16 + 9) / 18 = 25/18
Therefore, the total distance covered is 25/18 miles.
To find how much farther you walked than jogged, you need to subtract the distance jogged from the distance walked:
8/9 - 1/2
To subtract the fractions, you need to ensure they have a common denominator. The least common multiple (LCM) of 9 and 2 is 18, so you can rewrite the fractions with a denominator of 18:
8/9 = (8 * 2) / (9 * 2) = 16/18
1/2 = (1 * 9) / (2 * 9) = 9/18
Now, you can subtract the fractions:
16/18 - 9/18 = (16 - 9) / 18 = 7/18
Therefore, you walked 7/18 miles farther than you jogged.
To calculate the total distance covered, you need to add the distance walked to the distance jogged.
Distance walked = 8/9 miles
Distance jogged = 1/2 mile
To add these fractions, we need to find a common denominator.
The least common multiple of 9 and 2 is 18.
Converting the fractions to have a denominator of 18:
Distance walked = (8/9) * (2/2) = 16/18 miles
Distance jogged = (1/2) * (9/9) = 9/18 miles
Now we can add the distances:
Total distance covered = Distance walked + Distance jogged
Total distance covered = 16/18 miles + 9/18 miles
After adding the numerators, we get:
Total distance covered = 25/18 miles
To determine how much farther you walked compared to jogging, we can subtract the distance jogged from the distance walked:
Distance walked - Distance jogged
(16/18 miles) - (9/18 miles) = 7/18 miles
Therefore, you walked 7/18 miles farther than you jogged.