Answer:
The correct option is A.
Step-by-step explanation:
The given ratio is 54:24.
Write the simplified form of each ratio.
[tex]54:24=\frac{54}{24}=\frac{6\times 9}{6\times 4}\Rightarrow \frac{9}{4}=9:4[/tex]
The simplified form of given ratio is 9:4.
In option A, the given ratio is 27:12.
[tex]27:12=\frac{27}{12}=\frac{3\times 9}{3\times 4}\Rightarrow \frac{9}{4}=9:4[/tex]
The simplified form of 27:12 is 9:4, which is equivalent to the given ratio. Therefore correct option is A.
In option B, the given ratio is 18:6.
[tex]18:6=\frac{18}{6}=\frac{3\times 6}{1\times 6}\Rightarrow \frac{3}{1}=3:1[/tex]
In option C, the given ratio is 8:3. it is already in simplified form.
In option D, the given ratio is 24:54.
[tex]24:54=\frac{24}{54}=\Rightarrow \frac{4}{9}=4:9[/tex]
Therefore option B, C and D are incorrect.
