Question

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

Answer 1

Hey!

Hope this helps...

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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