Using distributivity, find: (3/5) × [(−7/9) + (4/9)].
A1/5
B−1/5
C−3/15
D3/45
Answer & Solution
Correct answer: B. −1/5
Either way works.
(i) Add first: (−7/9) + (4/9) = −3/9 = −1/3
then (3/5) × (−1/3) = −1/5.
(ii) Distribute: (3/5)(−7/9) + (3/5)(4/9) = −21/45 + 12/45 = −9/45 = −1/5. Both give the same answer, confirming distributivity.
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