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Oksi-84 [34.3K]
3 years ago
10

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 Banniste

r. 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
Mathematics
2 answers:
aalyn [17]3 years ago
8 0
10 1/2-4 1/4= 6 1/4. 6 1/4-3 2/3= 2 7/12. They used 2 7/12 ft or 2ft 7in of wood to fix the stairs.
kow [346]3 years ago
4 0

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

<h3>Further Explanation</h3>

<u>Given:</u>

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

<u>Question:</u>

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.

<h3>Learn More</h3>

Part to whole relationship brainly.com/question/11677654

Mixed fraction (part to whole relationship) brainly.com/question/2954545

Mixed fraction brainly.com/question/745462

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

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