Is the quotient of two proper fractions a proper fraction?

Answer 1

I don't know.

Let's see:

7/8 divided by 1/4 = 7/2 or 31/2

9/10 divided by 1/5 = 9/2 or 41/2

7/12 divided by 1/3 = 7/4 or 13/4 .

I guess it doesn't necessarily always have to be.

But . . . -

7/13 divided by 9/10 = 70/117

so sometimes it can be.

It looks to me like fractions behave just like whole or mixed numbers:

-- If you divide a smaller proper fraction by a bigger proper fraction, you get

a proper fraction.

-- If you divide a bigger proper fraction by a smaller proper fraction, you get

an improper fraction, which you can also write as a mixed number.