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Question

Which of the following ratios is not equal to $$8 : 3$$ in its simplest form ?


A
16:6
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B
104:36
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C
56:21
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D
896:336
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Solution

The correct option is B $$104 : 36$$
$$\Rightarrow$$  $$\dfrac{16}{6}=\dfrac{16\div 2}{6\div 2}=\dfrac{8}{3}$$

$$\Rightarrow$$  $$\dfrac{104}{36}=\dfrac{104\div 4}{36\div 4}=\dfrac{26}{9}$$

$$\Rightarrow$$  $$\dfrac{56}{21}=\dfrac{56\div 7}{21\div 7}=\dfrac{8}{3}$$

$$\Rightarrow$$  $$\dfrac{896}{336}=\dfrac{896\div 112}{336\div 112}=\dfrac{8}{3}$$

$$\therefore$$   Here, we can see $$8:3$$ is not equal to $$104:36$$.
$$\therefore$$   Correct answer is option B.

Mathematics

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