Answer:
Associative property
Step-by-step explanation:
Given
[tex]\frac{2}{5}*(\frac{4}{9} * \frac{3}{1}) = (\frac{2}{5}*\frac{4}{9}) * \frac{3}{1}[/tex]
Required
Identify the property used
The above expression can be expressed as:
[tex]a * (b * c) = (a * b) * c[/tex]
The above property is Associative property
To verify, we have:
[tex]\frac{2}{5}*(\frac{4}{9} * \frac{3}{1}) = (\frac{2}{5}*\frac{4}{9}) * \frac{3}{1}[/tex]
Multiply all numerators and denominators
[tex]\frac{24}{45} =\frac{24}{45}[/tex]
Proved
