What three ratios are equivalent to 3/9?
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2 points
1/3, 2/3, 3/3
1/3, 12/36, 15/45
6/9, 12/15, 18/21
5/12, 9/12, 3/12
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1/3, 2/3, 3/3
No Bot!!!!
Apologies for the error in my response. The correct answer is 1/3, 12/36, 15/45. Thank you for pointing out the mistake.
To find three ratios that are equivalent to 3/9, we need to multiply or divide both the numerator and denominator of 3/9 by the same number.
Let's start by simplifying 3/9. We can see that both 3 and 9 can be divided by 3, so dividing both the numerator and denominator by 3, we get:
3 ÷ 3 = 1
9 ÷ 3 = 3
So the simplified form of 3/9 is 1/3.
Now, we need to find two more ratios that are equivalent to 1/3.
Let's go through the options:
- Option 1/3, 2/3, 3/3: These ratios are indeed equivalent to 1/3 since they all have the same numerator of 1, and their denominators represent increasing amounts.
- Option 1/3, 12/36, 15/45: These ratios are also equivalent to 1/3 since both the numerator and denominator can be further simplified by dividing them by 3. Simplifying 12/36 by dividing both by 12, we get 1/3. Similarly, simplifying 15/45 by dividing both by 15, we get 1/3.
- Option 6/9, 12/15, 18/21: These ratios are not equivalent to 1/3 since each of them has a higher value than 1/3.
- Option 5/12, 9/12, 3/12: These ratios are not equivalent to 1/3 since the denominator of 3/12 is different from the other two ratios.
Therefore, the correct answer is: 1/3, 2/3, 3/3.