### 20120229: What's Wrong with this Solution?

Refer to the set of solution written in the board.
Identify as many error that you can spot and pen them in the comments.

After discussion:

1. line 2 the first fraction is not converted into a improper fraction

2. Line one : Did not turn the mixed fraction into improper fractions
Line 2 : Use mixed fractions to multiply
Line 4 : the smaller number minus the larger number should be negetive not positive

3. Line 1 has 2 errors. They are 1 1/27 and 1 4/5.
Line 2 has 1 error. It is 1.
Line 3 has 1 error. Which is 5.
Line 4 is wrong. The errors were carried down causing the answer to also be wrong.

4. line 2:the fraction is not converted into a improper fraction
line 3:the fraction is not converted into a improper fraction
add an extra line to convert improper fractions to proper fractions

5. In Line 1 the fractions are not properly converted Thus causing the whole question to be wrong.

6. line 1) (1 1/3)^3 = 2 10/27 mistake-> denominator ^3
line 2) 1 1/1= 2 not 1
line 3) NIL
line 4) answer should be negative
joshua =D

1. i forgot
line 1) 1 4/5 is not converted to improper fraction -> should be 9/5

7. Line 1 (1 1/27) should be 64/27 (1 4/5) should be 9/5

Line 2 (1 9/27) is wrong because of Line 1 and (1x5) should be 45/4

Line 3 is totally wrong because of Line 2

Line 4 Answer is wrong bacause of the many previous errors. It should be -19/3

8. In Line 1 & 2 the Mixed Fractions were not Converted to improper fractions.

9. line1) 1 1/27 should be 2 10/27

1. line2) not coverted to imporper fraction

10. Line 1) 1_1/3 ^3 is not 1_1/ 27. Also, when a fraction is divided, one must change a mixed number into an improper fraction, thus, 1_4/5 divided by 4/25 should be 9/5 x 25/4.

Line 2) No mistakes

Line 3) No mistakes

Line 4) 1_1/3 - 5 cannot be 3_2/3.

11. line 1 : (1 1/3)^3 = 1 1/27 the person should leave the answer in improper fraction.

line 2 : The person should leave his answer in improper fraction before he/she times or divide.

line 3 : The person should change the answer to improper fraction before dividing it to the simplest form.

line 4 : 1 1/3 - 5 is not 3 2/3

12. 1)The error was in line one when he put 1 1/3 as 1 1/27 when it should be 2 10/27.

2)In line 2 it should be 2 18/27 instead of1 9/27 and 2 18/27 should become 1 2/3 instead of 1 1/3

3)In Line 3 it should be 1 2/3 instead of 1 1/3

4)In line 4 the answer should be -3 1/3 instead of 3 2/3

13. Line 1:The person thought that (1^1/3)^3 was 1^1/27 which was wrong because 1^1/3^3 is 1^1/3^3*1^1/3^381^1/3^3 NOT 1/3^3 because there is a bracket.(2/3)^3 is not 2/3*3=8/27.The person was supposed to turn 1^4/5 to a improper fraction which is 9/5 because when 1^4/5/4/25,so he did not count the 1 whole.
Line 2:1^9/27 is wrong because 1^1/27+8/27 is already wrong as what I commented above.1x5 is also wrong because the person,did not count 1 whole.
Line 3:1^1/3-5 is also wrong because the person did not do line 1 and line 2 of his solution correctly.
Line 4:1^1/3-5 is not 3^2/3 because it should be a negative mixed number

14. Line 1) (1 1/3) = 2 2 10/27
Line 1) 1 4/5 x 25/4 (25/4 should be simplified into a mixed fraction)
Line 4) 3 2/3 should be (-3 2/3)

1. sry, (1 1/3) should be (1 1/3)^3

2. Line 2)the error, is the 1x5
it should be done differently.

15. In line 1, the errors are 1 4/5 and 1 1/27
In line 2, the error is the no. 1
In line 3, the error is 5
In line 4, the error is the whole thing.

16. Line 1 the error is the first fraction line 2 is the no 1 line 4 the answer is wrong

17. Errors:
Line 1:1 1/3^3 is not equal to 1 1/27, it should be 2 10/27. The mixed number 1 4/5 should be converted to an improper fraction before multiplying.

Line 2:1 9/27 is wrong because the it was multiplied then added wrongly in the first statement. 1x5 is also wrong because in the first statement, the mixed number was not converted to an improper fraction.

1. Line 1: (1 1/3)^3

2. Line 4: The answer should be a negative fraction as a smaller fraction is used to subtract a larger fraction.

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19. In line 1: (1 1/3)^3 should be 2 10/27 and not 1 1/27. 1 4/5 should be change to 9/5 for easy calculation.

In line 2 :1 1/27 should be 2 18/27 as it was calculated wrongly in line 1. 1 4/5 divide by 4 /25 should be 11 1/4 as it was also calculated wrongly in line 1.

In line 3: It should be 2 2/3 - 11 1/4

In line 4 : answer should be -8 7/12

20. Line 1 : 25/4 should be turned into a mixed number first.

Line 2 : No error

Line 3 : No error

Line 4 : It is suppose to be negative.