Question

Edgar said 3/5 is equivalent to 18/32. Check his work by making a
table of equivalent ratios.

Answer 1

In a nutshell,
`(3)/(5)` is not equivalent to
`(18)/(32)`.

Explanation:

Now we proceed to demonstrate that Edgar's statement is false:

1)
`(3)/(5)` Given

2)
`(3)/(5) * (2)/(2)` Modulative property/Existence of multiplicative inverse

3)
`(6)/(10)`
`(a)/(b)* (c)/(d) = (a\cdot b)/(c\cdot d)`

4)
`(6)/(10)* (3)/(3)` Modulative property/Existence of multiplicative inverse

5)
`(18)/(30)`
`(a)/(b)* (c)/(d) = (a\cdot b)/(c\cdot d)`/Result

In a nutshell,
`(3)/(5)` is not equivalent to
`(18)/(32)`.