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A ratio equivalent to 3 : 7 is:
- a)3 : 9;
- b)6 : 10;
- c)9 : 21;
- d)18:49
Correct answer is option 'C'. Can you explain this answer?
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A ratio equivalent to 3 : 7 is:a)3 : 9;b)6 : 10;c)9 : 21;d)18:49Correc...
A ratio equivalent to 3 : 7 is:
To find a ratio equivalent to 3 : 7, we need to find a pair of numbers that have the same ratio when simplified. Let's try the options:
To find a ratio equivalent to 3 : 7, we need to find a pair of numbers that have the same ratio when simplified. Let's try the options:
(i) 3 : 9 → This simplifies to 1 : 3, not the same as 3 : 7
(ii) 6 : 10 → This simplifies to 3 : 5, not the same as 3 : 7
(iii) 9 : 21 → This simplifies to 3 : 7, which is the same as 3 : 7, so the answer is (iii).
(ii) 6 : 10 → This simplifies to 3 : 5, not the same as 3 : 7
(iii) 9 : 21 → This simplifies to 3 : 7, which is the same as 3 : 7, so the answer is (iii).
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A ratio equivalent to 3 : 7 is:a)3 : 9;b)6 : 10;c)9 : 21;d)18:49Correc...
Equivalent Ratio Explanation:
To find a ratio equivalent to 3 : 7, we need to find another ratio that represents the same relationship between the two quantities. In this case, we need to find a ratio with the same value when simplified.
Calculating the Equivalent Ratio:
- To find an equivalent ratio, we need to multiply or divide both parts of the given ratio by the same number.
- In this case, we can multiply both parts of the ratio 3 : 7 by 3 to get an equivalent ratio.
- 3 x 3 = 9 and 7 x 3 = 21
- Therefore, the equivalent ratio of 3 : 7 is 9 : 21.
Verifying the Equivalent Ratio:
- To verify if 9 : 21 is indeed equivalent to 3 : 7, we can simplify both ratios.
- The simplified form of 3 : 7 is 3/1 : 7/1 = 3 : 7
- The simplified form of 9 : 21 is 9/3 : 21/3 = 3 : 7
- Since both ratios simplify to the same value, 9 : 21 is indeed an equivalent ratio to 3 : 7.
Therefore, the correct ratio equivalent to 3 : 7 is 9 : 21.
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A ratio equivalent to 3 : 7 is:a)3 : 9;b)6 : 10;c)9 : 21;d)18:49Correct answer is option 'C'. Can you explain this answer?
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