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Sagot :
Answer:
10 1/24
Step-by-step explanation:
We will need to add the wood Jermaine has and how much he needs together. Because the fractions denominators are not equal, we will multiply them.
(3/8) × 3 = 9/24
(2/3) × 8 = 16/24
Now we can add these together.
4 9/24 + 5 16/24 = 10 1/24
The answer is simplified already.
Answer: 10 & 1/24 feet
Whole part = 10 feet
Fractional part = 1/24 of a foot (aka half an inch)
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Explanation:
For now, let's focus on the fractions.
- 3/8 = 9/24 after multiplying top and bottom by 3
- 2/3 = 16/24 after multiplying top and bottom by 8
The new equivalent fractions formed both involve the same denominator 24, allowing us to add those fractions.
3/8 + 2/3 = 9/24 + 16/24 = (9+16)/24 = 25/24
We can then rewrite that improper fraction into a mixed number like this
25/24 = (24+1)/24
25/24 = 24/24 + 1/24
25/24 = 1 + 1/24
25/24 = 1 & 1/24
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To recap so far, adding the fractions only gets us the mixed number 1 & 1/24
We get 1 full foot, plus an additional 1/24 of a foot
That "1 full foot" portion carries over to the whole parts 4 and 5 being added to get us 4+5+1 = 10
The whole parts add to 10 and we have the fractional part 1/24 tag along to end up with the final answer of 10 & 1/24 feet
Jermaine will need 10 full feet, plus an additional 1/24 of a foot, of lumber.
1/24 of a foot = (1/24)*12 = 12/24 = 0.5 inches
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