Question

Answer this in pictures and number of words

Answer 1

`\large\text{Tim's solution is incorrect,}\\\text{ because}\ (3)/(6)+(1)/(2)=1\\eq(4)/(12)`

Explanation:

`(3)/(6)+(1)/(2)\\\\\text{We can simplify}\ (3)/(6)\ \text{by 3}:\ (3)/(6)=(3:3)/(6:3)=(1)/(2)\\\\\text{Therefore}\\\\(3)/(6)+(1)/(2)=(1)/(2)+(1)/(2)=(1+1)/(2)=(2)/(2)=1`

`\text{What mistake could Tim make?}`

`(3)/(6)+(1)/(2)=(3+1)/(6\cdot2)=(4)/(12)`

`\text{or}\\\\(3)/(6)+(1)/(2)=(3)/(6\cdot2)+(1)/(2\cdot6)=(3)/(12)+(1)/(12)=(3+1)/(12)=(4)/(12)`

`\text{Tim incorrectly expanded the fractions, when he transform them to}\\\text{ a common denominator.}`

Answer 2

Answer: Tom's solution is incorrect.

Explanation:

When you add 3/6 + 1/2 it equals ?.

3 + 1 = ?

6 + 2 = ?

We must have common denominators to do this problem.

So we must have 6 as our common denominator.

So 2 x 3 = 6. But we have to do the same to the Numerator.

So 1 x 3 = 3.

Now our problem is 3/6 + 3/6 = ?

3 + 3 = 6/6. Or 1

1 does not equal 4/12 or 1/3. So it makes it Incorrect.

What you should say:

Tom is incorrect, it is because 3/6 + 1/2 = 1, 1 does not equal 4/12 or 1/3. So, it makes it reasonable for the correct answer to be Incorrect