Question

Write two mixed numbers between 3 and 4 that have a product between 9 and 12

Answer 1

lol no lololollollolololollo

Answer 2

Consider 2 decimal numbers which are close to 3, like 3.1 and 3.2 .

They are both larger than 3, so their multiplication will be larger than 9. We keep them close to 3 so that the product is not larger than 12.

We may still fail, but we can check.


Now let's write the 2 decimal numbers as mixed numbers.

3.1 is
`3+ (1)/(10)`, which is
`3 (1)/(10)`

Similarly 3.2 is
`3 (2)/(10)`.


The multiplication of these 2 numbers is:



`(3+ (1)/(10))\cdot (3+ (2)/(10)) =9+ (6)/(10)+ (3)/(10)+ (2)/(100)=9+0.6+0.3+0.02=9.92`



Answer:
`3 (1)/(10)`,
`3 (2)/(10)`