In exactly how many ways may the same # 0.25 be expressed in the form A/B where A and B fit in 0<A<B<20?

Answer 1

Assuming A and B have to be integers, then there are only four choices:
1/4, 2/8, 3/12, 4/16.

The relationship between A and B is:
4A = B

If you aren't restricted to integers there are an infinite number of answers like:
A = 1/2
B = 2

A = 1/3
B = 4/3

A = 1/4
B = 1

A = 1/5
B = 4/5

etc.

Answer 2

1/4, 2/8, 3/12, 4/16. 5/20 would not work because 20, B, is not less than 20--itself--it is equal to it.

1/4 = 0.25. 0<1<4<20.
2/8 = 0.25. 0<2<8<20.
3/12 = 0.25. 0<3<12<20.
4/16 = 0.25. 0<4<16<20.


There are four ways with whole numbers. You could technically have .5/2, since .5 is greater than 0, but this is not a proper fraction... hope I helped!

Answer 3

Four: 1/4, 2/8, 3/12, 4/16.

You cannot have more since B would get too big.