Awa jogged for 3 4/7 km and swam for 4 1/3 km. Find the total distance he covered?
To find the total distance, we need to add the kilometers jogged to the kilometers swam.
Jogging: 3 4/7 km
Swimming: 4 1/3 km
First, let's convert the mixed fractions to improper fractions.
Jogging: 3 4/7 km = 3 + 4/7 = (3 * 7 + 4) / 7 = 21/7 + 4/7 = 25/7 km
Swimming: 4 1/3 km = 4 + 1/3 = (4 * 3 + 1) / 3 = 12/3 + 1/3 = 13/3 km
Now we can add the distances:
Total distance = Jogging distance + Swimming distance
Total distance = 25/7 km + 13/3 km
We need to find a common denominator for the fractions. The least common multiple of 7 and 3 is 21.
Total distance = (25/7) * (3/3) km + (13/3) * (7/7) km
Total distance = 75/21 km + 91/21 km
Now we can add the fractions with the same denominator:
Total distance = (75 + 91) / 21 km
Total distance = 166/21 km
The total distance Awa covered is 166/21 km.