Using distributivity, find: (3/5) × [(−7/9) + (4/9)].

Question

Using distributivity, find:  (3/5) × [(−7/9) + (4/9)].

Accepted 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.

Answer

1/5

Answer

−3/15

Answer

3/45

Using distributivity, find: (3/5) × [(−7/9) + (4/9)].

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