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Answer questions 1 and 3 it is fractions. PLEASE SHOW YOUR WORK. I WILL MARK YOU BRAINLIEST.

(1) A carpenter has a 10 1/2 foot wood plank. He cuts off 4 1/4 feet to replace a deck board as well as 3 2/3 feet to repair a step. He uses the rest of the plank for a shelf. How many feet of wood does the carpenter have for the shelf? SHOW YOUR WORK PLEASE.

(2) Mr.condron waled 4 1/6 miles on Tuesday and then he walked 1 9/10 fewer miles on Wednesday than he did on Tuesday. On Thursday he walked 2 2/5 more miles than he did on Wednesday. How many miles did Mr.Condron walk in all? SHOW YOUR WORK PLEASE.

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jafransp

Answer:

1. The carpenter has 2.58 feet of wood for the shelf.

2. Mr. Condron walked 11.1 miles in three days.

Step-by-step explanation:

Requirement 1

Given,

the carpenter has 21/2 feet long wood plank. He cuts off 17/4 feet of the total wood plank to replace a deck board and 11/3 feet to repair a step.  

So total wood used (17/4 + 11/3) = (51 + 44)/12 = 95/12 feet or 7.91 feet wood plank.  

Now, the carpenter has (21/2 - 95/12) = (126 - 95)/12 = 31/12 feet or 2.58 feet wood plank for the shelf.

(Note: I have taken the mixed fraction to improper fraction.)

Requirement 2

Given,

Mr. Condron walked 25/6 miles on Tuesday. He walked 19/10 miles less on Wednesday. So he walked (25/6  - 19/10) = 34/15 miles on Wednesday. Again, he walked 12/5 miles more than Wednesday. So, he walked ( 34/15 +  12/5) = (34+36)/15 = 70/15 = 14/3 miles on Thursday.

So, total he walked = (25/6) + (34/15) + (14/3) = (125+68+140)/30 = 333/30 = 111/10 or 11.1 miles.

(Note: I have taken the mixed fraction to improper fraction.)

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