Answer:
6
Step-by-step explanation:
You can work these a couple of ways.
1. Invert the denominator and multiply.
[tex]\dfrac{\left(\dfrac{8}{3}\right)}{\left(\dfrac{4}{9}\right)}=\dfrac{8}{3}\cdot\dfrac{9}{4}=\dfrac{2\cdot4\cdot3\cdot3}{3\cdot4}=2\cdot3=\boxed{6}[/tex]
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2. Express each fraction using the same denominator, then find the ratio of numerators.
[tex]\dfrac{\left(\dfrac{8}{3}\right)}{\left(\dfrac{4}{9}\right)}=\dfrac{\left(\dfrac{24}{9}\right)}{\left(\dfrac{4}{9}\right)}=\dfrac{24}{4}=\boxed{6}[/tex]
