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(4/9) ÷ (5/6) is the same as (4/9)*(6/5) called a reciprocal.

Casting out a 3 from the 9 and 6 leaves

(4/3)*(2/5) = 8/15

Doing the decimal, 0.444444 ÷ 0.833333 = 0.5333333

Multiplying this by 15 gives 8, so the 8/15 is right.◄

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