Question

what ratios that are equivalent to 4 to 7.

5/8
12/20
8:14
5 to 10
16/28
9 to 16

Answer 1

4 to 7 =  4/7

5/8 is not.

12/20 = 6/10 = 3/5 . It is not equivalent.

8:14 = 4 : 7 .  It is equivalent

5 to 10 = 1 to 2.  It is not.

16/28 = 8/14 = 4/7.  It is equivalent.

9 to 16 = 9 to 16.  It is not equivalent.

So only 8:14 and 16/28  are equivalent to 4 to 7.

Answer 2

In order to find the ratios that are equivalent to 4 to 7, you multiply the numerator and denominator by the same number. In this case, just see if it makes sense.

Answers:
8:14 because you multiply 4 and 7 by 2 to get an equal ration of 8:14
16/28 because you multiply 4 and 7 by 4 to get 16/28