Question

a carpenter 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?
Please answer as soon as possible thanks! ~ Ella

Answer 1

The carpenter needs $2\frac{7}{12}$ feet of wooden plank to fix the stairs.

Further Explanation

Given:

Total wooden of plank is $10\frac{1}{2}$ feet

He then cut $4\frac{1}{4}$ feet for the slat of a deck

                    $3\frac{2}{3}$ 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.

$\boxed {= 10\frac{1}{2} - 4\frac{1}{4} - 3\frac{2}{3} }$

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

$\boxed {= 10\frac{6}{12} - 4\frac{3}{12} -3 \frac{8}{12}  }$

we can write the above equation as follow

$\boxed {=10+\frac{6}{12} - ((4 + \frac{3}{12}) - (3 +\frac{8}{12})) }$

we can break up 10 into two smaller numbers

$\boxed {=9 +\frac{12}{12} + \frac{6}{12} - ((4 +\frac{3}{12})  - (3 +\frac{8}{12})) }\\\boxed {=9-4-3 +\frac{12}{12}+\frac{6}{12} -\frac{3}{12} -\frac{8}{12} }\\\boxed {= 2+\frac{7}{12} }\\\boxed {=2\frac{7}{12} }$

So, the wooden plank use for fixing the stairs is $2\frac{7}{12}$ feet.

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