Question

Find two fractions with a product between 10 and 11. SHOW YOUR WORK

Answer 1

2/1 * 5/1 = 10
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Answer 2

`(210)/(2)` and
`(1)/(10)`

Explanation:

We need to know two fractions which product is between 10 and 11, that is

`10 < (x)/(y) * (w)/(x) <11`

But, that product cannot be equal to 10 or 11.

There are infinite fractions that have this characteristics, but in this case, we select 210/2 and 1/10, because

`(210)/(2) * (1)/(10) = (210)/(20) =10.5`

And, 10.5 is between 10 and 11

`10< 10.5 <11`

Therefore, the fractions can be
`(210)/(2)` and
`(1)/(10)`