Question

Which ratio is equal to 54 : 24? 27 : 12 18 : 6 8 : 3 24 : 54

Answer 1

Answer:

The correct option is A.

Step-by-step explanation:

The given ratio is 54:24.

Write the simplified form of each ratio.

$54:24=\frac{54}{24}=\frac{6\times 9}{6\times 4}\Rightarrow \frac{9}{4}=9:4$

The simplified form of given ratio is 9:4.

In option A, the given ratio is 27:12.

$27:12=\frac{27}{12}=\frac{3\times 9}{3\times 4}\Rightarrow \frac{9}{4}=9:4$

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.

$18:6=\frac{18}{6}=\frac{3\times 6}{1\times 6}\Rightarrow \frac{3}{1}=3:1$

In option C, the given ratio is 8:3. it is already in simplified form.

In option D, the given ratio is 24:54.

$24:54=\frac{24}{54}=\Rightarrow \frac{4}{9}=4:9$

Therefore option B, C and D are incorrect.

Answer 2

Hello,
So 54 : 24 = 9 : 4
A) 27 : 12 = 9 : 4
B) 18 : 6 = 3
C) 8 : 3 = 8 : 3
D) 24 : 54 = 4 : 9
Do the answer is A.
Hope this helps :)