Is this a proper way to solve fractions?

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I'm doing Trades Math and as you can imagine it's bit confusing.

Let's say I'm trying to solve for the below question.

22' - 5 3/16"
10' - 1 1/2"
13' - 4 9/16"
+ __________

so here is what we get

v  -  v

45' - 10 

ok then we now we work with 1/2. So with "x" it by 8 and get 8/16 now that we have that let's move on.

3/16 + 8/16 + 9/16 = 20/16 now we can't use 20/16 because it's irregular fraction so lets do 20 - 16 = 4 which is written as

16/16 + 4/16 = 4/16 or >>> 1 1/4

So the solution is

45' - 11 1/4'

This is where I'm confused since 16/16 give us 1 do I actually write it as 1 1/4 and then add that to the 10 making it 11 1/4 or does it stay as 10 1/4' ?

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You are right: it is 45' - 11 1/4".

You have 45 feet + 10 inches + 20/16 inches.

20/16 inches is 1 and 1/4 inches, so you have 45 feet + 10 inches + 1 inch + 1/4 inch.

The 1 inch adds in with the 10 and you get 45 feet + 11 inches + 1/4 inch.