1.) 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, 3/121.) 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
To find three ratios that are equivalent to 3/9, we need to simplify the given ratio. The given ratio 3/9 can be simplified by dividing the numerator and denominator by their greatest common divisor (GCD), which is 3 in this case.
Step 1: Find the GCD of 3 and 9.
The factors of 3 are 1 and 3.
The factors of 9 are 1, 3, and 9.
The GCD of 3 and 9 is 3.
Step 2: Divide the numerator and denominator by the GCD.
Dividing 3 by 3 gives 1, and dividing 9 by 3 gives 3.
So, 3/9 simplified is 1/3.
Now, to find three ratios that are equivalent to 3/9, we can multiply the numerator and denominator of 1/3 by the same non-zero number.
For example:
- 1/3 can be multiplied by 2 to get 2/6.
- 1/3 can be multiplied by 3 to get 3/9 (which is the given ratio).
- 1/3 can be multiplied by 4 to get 4/12.
Therefore, three ratios that are equivalent to 3/9 are:
1/3, 3/9, and 4/12.
The correct answer is: 1/3, 3/9, and 4/12