Answer :

Answer:

To evaluate the expression using distributivity, we can follow the order of operations (PEMDAS) and distribute the 9/16 term to both fractions inside the parentheses:

(9/16 × 4/12) + (9/16 × -3/9)

= (9/16 × 4/12) + (9/16 × -1/3)

= (9/16 × 4/12) + (-9/16 × 1/3)

= (9/16 × 4/12) - (9/48)

= (9/16 × 1/3) - (9/48)

= (9/48) - (9/48)

= 0

So the final result is 0.

Note: We can also simplify the fractions before distributing:

(9/16 × 4/12) + (9/16 × -3/9)

= (9/16 × 1/3) + (9/16 × -1/3)

= (9/48) - (9/48)

= 0

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