Question

1 2 3 5 9 Find a number between and 10 Write your answer as an improper fraction and as a mixed number

Answer 1

In finding a number between 9/8 and 10/8, we can use the average of these two.

We can ensure that this number lies between this two.

`Ave=(1)/(2)(a+b)`

where a and b are the two numbers

So we have :

`\begin{gathered} Ave=(1)/(2)*((9)/(8)+(10)/(8)) \\ =(9)/(16)+(10)/(16) \\ =(19)/(16) \end{gathered}`

Therefore, one number that lies between 9/8 and 10/8 is :

`\begin{gathered} (19)/(16) \\ or \\ 1(3)/(16) \end{gathered}`