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

Question

11/28   1/2  17/28  5/7

 

 

Answer 1

So the best way to solve this problem is to make all denominator the same, so that you can more easily see the pattern. 

 

Step one: Find a common denominator = 28

 

Step two: convert all fractions to have a denominator of 28. 

 

1/2 * 14/14= 14/28

 

5/7 * 4/4= 20/28

 

Step three: Observe for pattern.

 

11/28, 14/28, 17/28. 20/28. When put in this form we can easily see that the pattern is adding 3/28. 

 

 

So the next number in the pattern would be 23/28