Answer:
B.166 11/12
Step-by-step explanation:
To handle this problem better, we can separate the fraction and integer portions to look at the whole situation better.
First, let's only look at the integers. Anthony flew up his drone 125 feet (translating to +125), allowed it to drop 14 feet (translating to -14), and then flew it up for 55 feet (translating to +55). Hence, only considering the integers, the total change in the drone's position would be (125 - 14 + 55) feet, which equates to 166 feet.
You'd probably have already noticed this answer is quite close to B. 166 11/12 feet, but let's keep on going for now.
On the fraction part, he flew his drone up 1/2 feet, allowed it to drop 1/3 feet, and then flew it up for 3/4 feet, translating to (1/2 - 1/3 + 3/4) feet.
Hence, after making all fractions share the same denominator, that same equation would change to (6/12 - 4/12 + 9/12) feet, which equals to 11/12 feet.
Finally, the total magnitude of the drone's position would be (166 + 11/12) feet, which is equal to B.166 11/12 feet.
Hope this helped!
