Perform the operation and simplify the answer fully.
4/3 ÷ 3/2
A) 8/9
B) 3/2
C) 2/3
D) 8/3
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To solve the operation ( frac{4}{3} div frac{3}{2} ), we need to multiply by the reciprocal of the second fraction:
1. Find the reciprocal of ( frac{3}{2} ), which is ( frac{2}{3} ).
2. Multiply:
[
frac{4}{3} times frac{2}{3} = frac{4 times 2}{3 times 3} = frac{8}{9}
]
So, the simplified answer is ( frac{8}{9} ).
The correct option is A) 8/9. If you have more questions, feel free to ask!