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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