2 * 1/4 is or equals 1/2 or 2 times 1/4 equals 1/2.

Are the following correct to re-word or to express the same calculation?

1. 1/2 is two times larger than 1/4

2. 1/2 is two times the size of 1/4

3. 1/2 is twice the size of 1/4

I think that the following are incorrect or less accurate to express 2 * 1/4 equals 1/2. Would you agree?

4. 1/4 is two times smaller than 1/2

5. 1/4 is less than two times the size of 1/2

Only #2 and #3 are fully valid.

English usage people will say that #1 means the same thing, but is an idiom. Math people don't like saying anything that doesn't mean exactly what it says, so they tend to disagree! Unfortunately, you will find it commonly in everyday use; even many math texts use that wording, so the realistic thing to do is to recognize that they probably

*mean *2*1/4, and answer the problem that way, but then write and complain.

"Times smaller" is non-standard, but there are situations where you can at least understand what is intended. If we were to consider it valid, a slightly better way to say #4 would be "1/4 is two times as small as 1/2". But I don't particularly like it.

Your #5 just doesn't mean anything like what you want to say; it is a comparison, and means "1/4 < 2*1/2"!