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7. Ms. Vickory assigned the problem: 8/9-4/6. Three of her students' responses are below. Who completed the problem correctly? What common mistakes did the other two students make?
The three students
Sue- 8/9-4/6=4/3 or 1 1/3
Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9
Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27

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rspill6

Answer:

Jim:  2/9

Step-by-step explanation:

8/9-4/6

48/54-36/54          [Convert each fraction to a common denominator:  54

                              Multiply (8/9)*(6/6)=48/54;  Multiply (4/6)*(9/9) = 36/54]

 48/54-36/54 = 12/54

12/54 can be reduced to 2/9

Jim also has 2/9

Sue- 8/9-4/6=4/3 or 1 1/3:  Sue subtracted both the numerator and denominator.  This is not correct.

Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9:  Good Job Jim

Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27:  Bob converted both denominators to 54, but did not multiply the numerators by the same numbers.  Bad Bob.

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