Emma has a board 5 feet long and cuts it into 6 equal pieces how long in feet is eacgpeace if the board in a fraction

Imagine an easier version of this problem:  You have a board 5 feet long that you must cut (divide, right?) into two equal parts.  It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).

Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.

We do not ordinarily divide feet into decimal portions, but instead into inches.  Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths?  or 5/6 = n/12  Solve this by inspection or by cross multiplying 5 times 12 equals n times 6.  So n must equal 10, and your pieces of board are each 10 inches long.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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