Help solve this problem please

Change the left side to improper fractions.

9
--
4
====
3
--
2

Now use the fraction rule. Invert the denominator and multiply that by the numerator.

9       2
== * ==
4       3

18/12 = 3/2 which for now is left alone.

Now work with the fraction on the right side.
1 5/6 = 11/6 

Now equate the two results
27/8 = 11/6 // x/1

Simplify the right side
3/2 = 11/6 * 1 / x Remember to invert and multiply that's why you need the 1 underneath the x
3/2 = 11/6x Cross multiply
3* 6x = 11 * 2 
18 x = 22
18 x = 22
x = 11/9
x = 1.2222 

What are the choices or are there any? The other choice is x = 1.2222

x = 22/18 or 
x = 1.22222222 or 
x = 11/9

All three are possible and all three are correct and all three are equal. Since I do not have choices, I don't know which one will be acceptable.




Check 
I'll do this in decimals. It is much easier.
2.25/1.5 = 1.83333333 / 1.22222222
1.5 = 1.5 so these numbers do check.