Question

Verify and name the property used:2/5 X(4/9×3/1) = (2/5 X 4/9)X 3/1
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Answer 1

Associative property

Explanation:

Given

`(2)/(5)*((4)/(9) * (3)/(1)) = ((2)/(5)*(4)/(9)) * (3)/(1)`

Required

Identify the property used

The above expression can be expressed as:

`a * (b * c) = (a * b) * c`

The above property is Associative property

To verify, we have:

`(2)/(5)*((4)/(9) * (3)/(1)) = ((2)/(5)*(4)/(9)) * (3)/(1)`

Multiply all numerators and denominators

`(24)/(45) =(24)/(45)`

Proved