The ratios 6:3 and 5 :15 are given. Which of the following is true abo...
To check if the ratios are in proportion, we compare the two ratios as follows:
The first ratio is 6 : 3, which simplifies to:
6 / 3 = 2
The second ratio is 5 : 15, which simplifies to:
5 / 15 = 1 / 3
Since the simplified values are 2 and 1/3, these two ratios are not equal. Therefore, the given ratios 6:3 and 5:15 are not in proportion.
So, the correct answer is A: The given ratios are not in proportion.
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The ratios 6:3 and 5 :15 are given. Which of the following is true abo...
-when two ratios are same they are said to be in proportion.
- suppose we write the two ratios like this ---> 6:3::5:15 ( :: means same as )
- but 6:3 is not same as 5:15
- to check it we know product of extremes = product of means
- 6 * 15 = 90
-3* 5 = 15
- 90 is not equal to 15 hence the given ratios are not in proportion .
The ratios 6:3 and 5 :15 are given. Which of the following is true abo...
Given Ratios Analysis
Ratio 1: 6:3
- The ratio 6:3 can be simplified to 2:1 by dividing both numbers by the greatest common factor, which is 3.
- Therefore, the simplified version of ratio 6:3 is 2:1.
Ratio 2: 5:15
- The ratio 5:15 can be simplified to 1:3 by dividing both numbers by the greatest common factor, which is 5.
- Therefore, the simplified version of ratio 5:15 is 1:3.
Analysis of Given Ratios
- The simplified versions of the given ratios 6:3 and 5:15 are 2:1 and 1:3 respectively.
- Since the simplified versions of the ratios are not equal, they are not in proportion.
- In a proportion, the ratios must be equal when simplified to the same terms.
Therefore, the correct answer is option 'A' - The given ratios are not in proportion.