3 ÷ (5 ÷ 7) = (3 ÷ 5) ÷ 7

___________________________________________

Answer

    None

Explanation

The above question is look like it is true for associative law. But associative law does not work for division.

Let us solve the above statement by taking L.H.S. and R.H.S.

    3 ÷ (5 ÷ 7) = (3 ÷ 5) ÷ 7

    L.H.S.
    3 ÷ (5 ÷ 7) 
    = 3 ÷ (5/7)
    = 3 × (7/5)
    = 21/5
    
    R.H.S.
    (3 ÷ 5) ÷ 7
    = (3/5) ÷ 7
    = (3/5) × (1/7)
    = (3/35)
                    
    3 ÷ (5 ÷ 7) ≠ (3 ÷ 5) ÷ 7

Therefore above statement is false and answer is 'none'

___________________________________________

Note

Commutative law and Associative law work for addition and multiplication
Commutative law and Associative law does not work for subtraction and division.

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