Please explain step by step, i really dont get this

Question

What is the next fraction in this sequence? Simplify your answer.

7/9, 13/18, 2/3, 11/18

Answer 1

Looking for a pattern, set each fraction to use the common denominator of 18

14/18, 13/18, 12/18, 11/18

It's counting down by 1/18.

So the next in the sequence would be 10/18 = 5/9.

Answer 2

Convert all the fractions to have a denominator of 18.

7/9 =14/18

13/18 = 13/18

2/3 = 12/18

11/18 = 11/18

Now the sequence is 14/18, 13/18, 12/18, 11/18, so the next fraction is 10/18 or 5/9

Answer 3

Give all the fractions a common denominator of 18 and the sequence looks like this:

14/18 , 13/18 , 12/18 , 11/18 , ...

Happy solving!

Answer 4

Hi Brandon,

At first glance, it does look quite confusing!

Something that is useful is to set each fraction to the least common denominator. In this case, we can change all the denominators to 18 in the following fashion:

7/9 * 2/2 = 14/18

13/18 = 13/18

2/3 * 6/6 = 12/18

11/18 = 11/18

Note that we did not change any of the values, since we only multiplied each fraction by 1, since 2/2 and 6/6 both equal 1.

Now we see the pattern of 14/18, 13/18, 12/18, 11/18. Hopefully the pattern is now clear: The next fraction in the sequence is 1/18 smaller than the previous. As such, the answer is

10/18