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Answer :
26 1/2 feet is the length for each side plank.
The deck's total length is 150 feet, and the center plank's length is 97 1/3 feet.
Here's the calculation:
- Convert 97 1/3 to an improper fraction: 97 1/3 = 291/3 feet.
- Subtract the length of the center plank from the total length: 150 feet - 291/3 feet.
- First, convert 150 to a fraction with a denominator of 3: 150 = 450/3 feet.
- Now subtract the fractions: 450/3 feet - 291/3 feet = 159/3 feet.
- This is the combined length of the two side planks. Since both side planks are of equal length, divide by 2 to find the length of one side plank: 159/3 feet \/ 2 = 159/6 feet.
- Convert the improper fraction to a mixed number: 159/6 feet = 26 1/2 feet.
Therefore, the length of each side plank is 26 1/2 feet.
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Rewritten by : Barada
Each side plank is 52 2/3 feet long. Total deck length is 150 feet, with a center plank of 97 1/3 feet.
To find the length of each side plank, we can start by subtracting the length of the center plank from the total length of the deck.
Total length of the deck = 150 feet
Length of the center plank = 97 1/3 feet
So, the length of each side plank can be calculated as follows:
Total length of both side planks = Total length of the deck - Length of the center plank
Let's solve this step by step:
1. Convert 97 1/3 feet to an improper fraction:
[tex]\(97 \frac{1}{3} = \frac{97 \times 3}{3} + \frac{1}{3} = \frac{291}{3} + \frac{1}{3} = \frac{292}{3}\)[/tex]
2. Subtract the length of the center plank from the total length of the deck:
[tex]\(150 - \frac{292}{3}\)[/tex]
3. Convert 150 to a fraction with the same denominator as [tex]\( \frac{292}{3}\)[/tex]:
[tex]\(150 = \frac{150 \times 3}{3} = \frac{450}{3}\)[/tex]
Now, we can subtract the fractions:
[tex]\( \frac{450}{3} - \frac{292}{3} = \frac{450 - 292}{3} = \frac{158}{3}\)[/tex]
4. Finally, convert the improper fraction back to a mixed number:
[tex]\(158 \div 3 = 52 \frac{2}{3}\)[/tex]
So, each side plank is [tex]\(52 \frac{2}{3}\)[/tex] feet long.
Here's the summary of the calculations:
Total length of both side planks = Total length of the deck - Length of the center plank
[tex]\(= 150 - \frac{292}{3}\)[/tex]
[tex]\(= \frac{450}{3} - \frac{292}{3}\)[/tex]
[tex]\(= \frac{158}{3}\)[/tex]
[tex]\(= 52 \frac{2}{3}\)[/tex] feet.
