Final answer:
Katrina travelled a total of 281/4 km on that day.
Step-by-step explanation:
Katrina rode her bicycle 61/1/2 km in the morning and 8 3/4 km in the evening. To find the distance travelled by her altogether, we need to add the two distances together: 61/1/2 + 8 3/4.
To add these mixed numbers, we first convert them to improper fractions. 61/1/2 as an improper fraction is 123/2 and 8 3/4 as an improper fraction is 35/4.
Now we can add the fractions: 123/2 + 35/4.
We need to find a common denominator before adding.
The least common multiple of 2 and 4 is 4, so we get: (123/2) * 2/2 + (35/4) * 1/1
= 246/4 + 35/4
= 281/4.
So, Katrina travelled a total of 281/4 km on that day.