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Answer :
Let's take a closer look at the problem and identify the error in the given work, then provide the correct calculation.
The original work is as follows:
1. [tex]\(\frac{8}{12} \times 6 = 8 \times \frac{1}{12} \times 6\)[/tex]
2. [tex]\(= 8 \times \frac{1}{72}\)[/tex]
3. [tex]\(= \frac{8}{72}\)[/tex]
4. [tex]\(= \frac{1}{9}\)[/tex]
The error occurs in step 2. The correct step should not be [tex]\(8 \times \frac{1}{72}\)[/tex]. Let's go through the correct steps:
1. Start with the original expression: [tex]\(\frac{8}{12} \times 6\)[/tex].
2. This is equivalent to [tex]\((8 \div 12) \times 6\)[/tex].
3. Simplify [tex]\(\frac{8}{12}\)[/tex] to [tex]\(\frac{2}{3}\)[/tex], since both the numerator and denominator can be divided by 4.
4. Now, compute [tex]\(\frac{2}{3} \times 6\)[/tex].
5. This can also be written as [tex]\(\frac{2 \times 6}{3}\)[/tex].
6. Calculate the numerator: [tex]\(2 \times 6 = 12\)[/tex].
7. Divide the result by 3: [tex]\(\frac{12}{3} = 4\)[/tex].
Therefore, the correct calculation is [tex]\(\frac{8}{12} \times 6 = 4\)[/tex].
The correct answer to the problem is 4.
The original work is as follows:
1. [tex]\(\frac{8}{12} \times 6 = 8 \times \frac{1}{12} \times 6\)[/tex]
2. [tex]\(= 8 \times \frac{1}{72}\)[/tex]
3. [tex]\(= \frac{8}{72}\)[/tex]
4. [tex]\(= \frac{1}{9}\)[/tex]
The error occurs in step 2. The correct step should not be [tex]\(8 \times \frac{1}{72}\)[/tex]. Let's go through the correct steps:
1. Start with the original expression: [tex]\(\frac{8}{12} \times 6\)[/tex].
2. This is equivalent to [tex]\((8 \div 12) \times 6\)[/tex].
3. Simplify [tex]\(\frac{8}{12}\)[/tex] to [tex]\(\frac{2}{3}\)[/tex], since both the numerator and denominator can be divided by 4.
4. Now, compute [tex]\(\frac{2}{3} \times 6\)[/tex].
5. This can also be written as [tex]\(\frac{2 \times 6}{3}\)[/tex].
6. Calculate the numerator: [tex]\(2 \times 6 = 12\)[/tex].
7. Divide the result by 3: [tex]\(\frac{12}{3} = 4\)[/tex].
Therefore, the correct calculation is [tex]\(\frac{8}{12} \times 6 = 4\)[/tex].
The correct answer to the problem is 4.
Thanks for taking the time to read Critique the reasoning and find the error in the work below Then show the correct calculation tex frac 8 12 times 6 8 times frac. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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