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

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).

Answer 2

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

$False$