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Jermaine has 4 3/8 feet of lumber but needs another 5 2/3 feet to complete the project he's working on. How much total wood does he need?

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Davidbrackmanidn

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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