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

`(8)/(12) * 6 = 8 * (1)/(12) * 6 = 8 * (1)/(72) = (8)/(72) = (1)/(9)`
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Answer 1

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

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 ...

`(8)/(12)* 6=8*(1)/(12)*6=8*(6)/(12)=(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.