unable to understand this point The value of the product of two proper fractions is always less than the value of each of the fraction that is being multiplied.

Answer :


We know "A Proper Fraction has its numerator less than its denominator." 

And given statement is : The value of the product of two proper fractions is always less than the value of each of the fraction that is being multiplied. "

We can explain this statement by taking some examples .

As : Take two proper fractions : $\frac{1}{2}$   and  $\frac{1}{4}$ 

And we multiplied them  and get  = $\frac{1}{2}$   $\times$ $\frac{1}{4}$    = $\frac{1}{8}$

And we can convert these fractions into decimal , and get 

$\frac{1}{2}$  =  0.5 
$\frac{1}{4}$  = 0.25
And
$\frac{1}{8}$  = 0.125 

So we can see that 

$\frac{1}{8}$   <  $\frac{1}{4}$ 
And

$\frac{1}{8}$  <  $\frac{1}{2}$  

So our statement is stand correct  .

We can take one more example :

As : Take two proper fractions : $\frac{2}{5}$   and  $\frac{3}{5}$ 

And we multiplied them  and get  = $\frac{2}{5}$ $\times$ $\frac{3}{5}$    = $\frac{6}{25}$

And we can convert these fractions into decimal , and get 

$\frac{2}{5}$  =  0.4 

$\frac{3}{5}$  = 0.6
And
$\frac{6}{25}$ = 0.24 

So we can see that 

$\frac{6}{25}$   <  $\frac{2}{5}$ 
And

$\frac{6}{25}$  <  $\frac{3}{5}$ 

So our statement is stand correct  .