SOLUTION: Mr. Simon is cutting a length of 5 1/4 feet from a board that is 6 2/3 feet long. He estimates that about 2 feet of the longer board will be left over. Explain whether or not Mr

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Question 1127383: Mr. Simon is cutting a length of 5 1/4 feet from a board that is 6 2/3 feet long.
He estimates that about 2 feet of the longer board will be left over.
Explain whether or not Mr. Simon's estimate is reasonable. Use benchmark fractions to support the explanation.
Write and solve an equation to find the exact amount of the longer board that will be left over.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
6+2%2F3=20%2F3
5+1%2F4=21%2F4
He estimates that about 2 feet
if his estimate was correct, then the sum of 5+1%2F4 and 2 should be equal to 6+2%2F3

20%2F3=21%2F4%2B2
20%2F3=21%2F4%2B8%2F4
20%2F3=29%2F4
20%2A4=29%2A3
80%3C%3E87
since not equal, Mr. Simon's estimate is not reasonable