Question

the product of a mixed number between 4 and 5 and a fraction between 0 and 1 is always less than 4 true or false

Answer 1

Let

m-------> a mixed number between
`4` and
`5`

f-------> a fraction between
`0` and
`1`

p-----> the product of m and f

we will assume different values ​​of m and f to obtain the product

1) For
`m=4.1` and
`f=0.2`

`p=4.1*0.2`

`p=0.82`

`0.82 < 4`

2) For
`m=4.9` and
`f=0.9`

`p=4.9*0.9`

`p=4.41`

`4.41 > 4` --------> not always the product is less than
`4`

therefore

the answer is

`False`

Answer 2

The answer here is false. For example, 4.9 x .9 = 4.41 which is more than 4.(4 9/10 x 9/10 = 4 41/100).