What is the next fraction in this sequence? simplify your answer. 5 6 , 5 9 , 10 27 , 20 81

Hey!

Hope this helps...

So we know that all the denominators are multiples of 3, and the numerators are multiples of 2...

we also know that the fraction 5/6 is a dummy fraction (which means, it will not help us at all)

We know that the numerators (from 5/9 and on), are constantly multiplied by 2, and the denominators (from 5/9 and on) are constantly multiplied by 3...

So by this information, we know that the answer must be 40/243

This is because 20 * 2 = 40

And 81 * 3 = 243

So... put them together, and you get 40/243

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6

answer: (3,11) is your answer.