Question

Give all possible proportions using the numbers 2 5 8 and 20

Answer 1

Answer:

$\frac{2}{5},\frac{1}{4},\frac{1}{10},\frac{5}{2},\frac{5}{8},\frac{4}{1},\frac{8}{5},\frac{10}{1}$

Step-by-step explanation:

Proportions are fractions that can be created using the numbers given. Let's pair each and reduce if possible.

Starting with 2:

2/5

2/8 = 1/4

2/20 = 1/10

Then 5:

5/2

5/8

5/20 = 1/4

Then 8:

8/2 = 4/1

8/5

8/20 = 2/5

Lastly 20:

20/2 = 10/1

20/5 = 4

20/8 = 5/2

So, we can see some are repeating, hence the unique proportions are:

2/5, 1/4, 1/10, 5/2, 5/8, 4/1, 8/5, 10/1