Select two ratios that are equivalent to 2:9. Choose 2 answers: (Choice A) 9:2 (Choice B) 18:81 (Choice C) 12:54 (Choice D) 18:4 (Choice E) 20:45
Answers
Answer: B) 18:81 and C) 12:54
Step-by-step explanation:
Multiplying both terms of a ratio by a non-zero constant does not affect the ratio. Clearly, in (B) both 2 and 9 have been multiplied by 9 whereas in (C), they have been multiplied by 6. Remaining ratios are simply absurd.
Given - Ratio 2:9
Find - Two equivalent ratio
Solution - The two ratios that are equivalent to 2:9 are (Choice B) 18:81 (Choice C) 12:54.
Among the given options, (Choice A) 9:2 is reciprocal of the fraction given in the question. Thus, it is the wrong answer.
On dividing both the numerator and denominator of (Choice B) 18:81 with 9, we get the ratio 2:9. Thus, it is equivalent to 2:9.
On dividing both the numerator and denominator of (Choice C) 12:54 with 6, we get the ratio 2:9. Thus, it is equivalent to 2:9.
Numerator and denominator of (Choice D) 18:4 on division with 2 will give 9:2. Numerator and denominator of (Choice E) 20:45 with 5 will give 4:9.
Therefore, two ratios that are equivalent to 2:9 are (Choice B) 18:81 (Choice C) 12:54.