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Q: Why is it necessary to rename 4 and 1 fourth if you subtract 3 fourths from it?

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Only if the fraction is improper (greater than one).

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Renaming is the same thing as borrowing. If the problem was 62 - 35 you would have to rename the 2 ....12...by borrowing from the 6.which would become 5. In your example there is no need to rename since 65 - 32 can be subtracted without borrowing.

divide the decimal by one

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Probably not, but it depends on what you mean by "3th".

7 3 _ 4

12 fourths is neither a mixed number nor a fraction. It is an integer: 3.

Because 3 is greater than 1. I suppose it's possible to do it in your head, if you remember that in the world of fourths, 1 - 3 equals 2 but it's easier to subtract 3/4 from 17/4 or 3 and 5/4. As long as you can get to 3 and 1/2, it doesn't really matter, but don't tell your teacher I said that.

you would have to convert the units to be alike.

No.

No.

Possible reasons: To add or subtract fractions, To compare fractions with different denominators.

Write 3/4 with a denominator of 8. Subtract the renamed fraction from 7/8.

You first need to find a common denominator, not necessarily the least common denominator. Next, you rename the fractions according to the common denominator. Only then can you subtract the fractions. After subtraction you should simplify the answer.

If you can do it without, go ahead. But it helps to get the correct answer, since three is larger than one. If you re-name 4 and 1/4 to 3 and 5/4, it's easier to subtract 3/4 from it.

to be for real i truly don't know but first you need to make the units the same and that's called renaming the you subtract

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