Question

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 what you know about benchmark fractions to support your explanation.
Write and solve an equation to find the exact amount of the longer board that will be left over.

Answer 1

Answer:

Step-by-step explanation:

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

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