Is there's a multiple of 1/6 between 3/6 and 4/6?

Lets find that out writing equations and solving them, a multiple of 1/6 is something like this (1/6) x, so we have

(1/6) x > 3/6

and

(1/6) y < 4/6

lets solve both equations:

(1/6) x > 3/6

x > 6 (3/6)

x > 3

(1/6) y < 4/6

y < 6 (4/6)

y < 4

So the number must be between 3 and 4, which is obvious, lets try with 3.5 then, that is 3 5/10 or 35/10 = 7/2 in fractional form, and lets try it out:

(1/6) (7/2) = 7/12

finally we compare with the original fractions:

1/6 < 7/12

2/12 < 7/12

So, it comply with being greater than 1/6, now lets compare with 4/6

7/12 < 4/6

7/12 < 8/12

therefore is also smaller than 4/6 and hence 7/12 is a multiple of 1/6 between 3/6 and 4/6