Answer: To find out whether Maya hiked more than 3 kilometers in all, we need to add the lengths of the two trails and compare the sum to 3 kilometers.
The length of the first trail is 1 and 1-third kilometers, which can be written as:
1 + 1/3 = 4/3 kilometers
The length of the second trail is 1 and 2-fifths kilometers, which can be written as:
1 + 2/5 = 7/5 kilometers
Adding these two lengths, we get:
4/3 + 7/5 = (20/15) + (21/15) = 41/15 kilometers
To compare this to 3 kilometers, we need to convert 3 kilometers to the same unit as the sum of the two trail lengths, which is kilometers. We can write 3 kilometers as:
3 = 45/15 kilometers
Now we can compare the two values:
41/15 kilometers < 45/15 kilometers
Since the sum of the two trail lengths is less than 3 kilometers, Maya did not hike more than 3 kilometers in all.