Question

EXPLAIN ANY MISTAKES IN THE RENAMING OF THE FRACTIONS BELOW. SHOW THE CORRECT RENAMING.

3/4=9/12
2/3=6/12

Answer 1

The given renamings of the fractions 3/4 and 2/3 are incorrect. The correct renamings should be 9/12 and 6/12 respectively.

Step-by-step explanation:

To explain the mistakes in the renaming of the fractions, let's evaluate each renaming:

1. 3/4 = 9/12: This renaming is incorrect because multiplying both the numerator and denominator of 3/4 by 3 gives us 9/12, not 9/12.
2. 2/3 = 6/12: This renaming is incorrect because multiplying both the numerator and denominator of 2/3 by 2 gives us 4/6, not 6/12.

The correct renamings should be as follows:

1. 3/4 = 9/12: The correct renaming of 3/4 would be 9/12 if we multiply both the numerator and denominator by 3.
2. 2/3 = 6/12: The correct renaming of 2/3 would be 6/12 if we multiply both the numerator and denominator by 4.

Answer 2

3/4=9/12 CORRECT

2/3=6/12 FALSE

Step-by-step explanation:

What is done to top of the fraction must be done to the bottom as well in order for the renaming to be true.

3*3 = 9

4*3 = 12

Therefore proven to be true

However,

2*3 = 6

but 3*3 = 9

The second fractions is renamed incorrectly and should be either 2/4=6/12 or 2/3=2/9

Hope this helps!