Gina subtracted 6 8 from 1 and found a difference of 2 8 . Which statement best describes the difference of 6 8 from 1 is 2 8 ? F The difference of 2 8 is not reasonable because 1 – 3 4 = 1 4 . G The difference of 2 8 is reasonable because 3 4 – 1 4 _ = 1 2 . H The difference of 2 8 is reasonable because 1 – 3 4 = 1 4 . J The difference of 2 8 is not reasonable because 3 4 – 1 4 = 1 2 .

To find - Which statement best describes the difference of 6/8 from 1 is 2/8 ? Statement F : The difference of 2/8 is not reasonable because 1 – 3/4 = 1/4 .

Statement G : The difference of 2/8 is reasonable because 3/4 – 1/4 = 1/2 .

Statement H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .

Statement J : The difference of 2/8 is not reasonable because 3/4 – 1/4 = 1/2 .

Proof -

If we subtract 6/8 from 1 , we get

[tex]1 - \frac{6}{8} = \frac{8 - 6}{8} = \frac{2}{8}[/tex]

So, the difference is 2/8

It is reasonable.

So,

The correct statement is - Statement H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .

Reason -

As we can write

[tex]\frac{6}{8} = \frac{3}{4}[/tex] and [tex]\frac{2}{8} = \frac{1}{4}[/tex]

So,

either we subtract 6/8 from 1 or 3/4 from 1 , we get the same result because both the values are equal

So the correct statement is - H : The difference of 2/8 is reasonable because 1 – 3/4 = 1/4 .