Need an explanation on number 44 to why E is correct

Before we can make sure that E is correct, we need to make the denominator is equal with questions and the choices or convert into decimal.

2/3 = 0.66

1/3=0.33

1/5=0.2

2/6=1/3 = 0.33

1/2 = 0.5

7/10 = 0.7

7/9 = 0.77

The question is :

2/3 < x < 7/9

0.66 < x < 0.77

We need to divide into 2 parts :

0.66 < x

x < 0.77

So we need to find the answer that x is greater that 0.66 and we got 7/10. And 7/10 is less than 7/9.

Hope this helps. Please ask if you don't understand.