Question

tell what property allows you to compute 1/3(6×4/3)as(1/3×6)×4/3

Answer 1

Answer:

Associative property of multiplication is used to show  $\frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}$

Step-by-step explanation:

 Given :    $\frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}$

We have to state which property is used to show  $\frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}$

Associative property of multiplication states for any three real numbers a , b and c , we have,

$(a\times b)\times c= a\times(b\times c)$

Similarly, here

$a=\frac{1}{3}\\\\ b=6 \\\\ c=\frac{4}{3}$  

Thus,  $\frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}$ holds.

Therefore, Associative property of multiplication is used to show  $\frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}$

Answer 2

Answer:

1/3( 6X 4/3 =(1/3 X 6) X4/3

Step-by-step explanation:

1/3[ 6X4/3]= (1/3×6)×4/3