Acarpenter has 10 1/2 feet of wooden plank. he cuts off 4 1/4 feet to replace the slat of a deck and 3 2/3 to repair a bannister. he uses the rest to fix a stair. how many feet of wood does the carpenter use to fix the stair?
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The carpenter needs feet of wooden plank to fix the stairs.

Given:

Total wooden of plank is feet

He then cut feet for the slat of a deck

                    feet for repairing a Bannister

and the rest for fixing the stairs

Question:

How many feet of wood does the carpenter use to fix the stair?

The rest to fix the stairs = Total wooden of plank - wooden of plank use for the slat of a deck - wooden of plank use for repairing a Bannister.

the denominator is different, so we need to find a common denominator for 2, 4 and 3 which is 12, so :

we can write the above equation as follow

we can break up 10 into two smaller numbers

So, the wooden plank use for fixing the stairs is feet.

Part to whole relationship

Mixed fraction (part to whole relationship)

Mixed fraction

Keyword: mixed fraction, subtraction, improper fraction, part to whole relationship, grouping, mixed fraction additional

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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