Which ratio is larger among the following?

5: 12 or 17: 30

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5:12

17:30

Both are equal

None

answer is B.

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Detailed Solution

The given ratios are 5: 12 and 17: 30.
We can write it in fraction form as,

5 : 12 = \frac{5}{12}

17 : 30 = \frac{17}{30}

Now, the LCM of 12 and 30 is 60.
Therefore, multiplying and dividing

\frac{5}{12}

by 5 and

\frac{17}{30}

by 2, we get,

\frac{5 \times 5}{12 \times 5} = \frac{25}{60}

\frac{17 \times 2}{30 \times 2} = \frac{34}{60}

We know that,
34 > 25

\Rightarrow \frac{34}{60} > \frac{25}{60}

\Rightarrow \frac{17}{30} > \frac{5}{12}

\Rightarrow 17 : 30 > 5 : 12

Therefore 5:12 < 17:30.
Hence, the larger ratio is 17:30.
Hence option 2 is correct.

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