The original expression is given by:
[tex]( \frac{2}{3}*\frac{1}{5})*\frac{5}{2} [/tex]
The correct way to rewrite the expression is given by:
[tex]\frac{2}{3}*(\frac{5}{2}*\frac{1}{5})
[/tex]
For this, we use two properties:
Associative property:
The way of grouping the factors does not change the result of the multiplication:
[tex]\frac{2}{3}*(\frac{1}{5}*\frac{5}{2}) [/tex]
Commutative property:
The order of the factors does not vary the product:
[tex]\frac{2}{3}*(\frac{5}{2}*\frac{1}{5}) [/tex]
