Question

2. MP.3 Critique Reasoning Find the error in the work below. Then show the correct calculation.
8find the error in the work below then show the correct calculation 8/12 * 6 equals 8 * 1/12
$\frac{8}{12} \times 6 = 8 \times \frac{1}{12} \times 6 = 8 \times \frac{1}{72} = \frac{8}{72} = \frac{1}{9}$
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Answer 1

Answer:

• error: 1/12·6 should be 6/12, not 1/72
• correct result: 4

Step-by-step explanation:

The error in the work can be found by comparing the work shown to the work you know is correct.

The correct work would be ...

  $\frac{8}{12}\times 6=8\times\frac{1}{12}\times6=8\times\frac{6}{12}=\frac{48}{12}=4\qquad\text{correct calculation}$

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The error in the given work is that 1/12×6 was shown as 1/72, rather than 6/12. That is, the product of the fraction and the integer was incorrectly calculated by multiplying the denominator instead of the numerator by the integer.