Are the ratios 16/14 equivalent to 60/40

No.

Cross multiply to find out.

(16) (40) = (14) (60)

640 = 840

Since the numbers aren't equivalent, the ratios are not equivalent either.

To see if they are equivalent simplify the ratios by diving both sides by a common factor.

So first for 16/14 divide by 2 by both sides, which is 8 to 7.

For 60/40 divide by 10, which will give you 6/4 and then divide one more time by 2 to get 3/2. 8/7 and 3/2 are not equivalent, so No.