What three ratios are equivalent to 3/9
1/3, 2/3, 3/3
1/3, 12/36, 15/45
6/9, 12/15, 18/21
5/12, 9/12, 3/12
The three ratios equivalent to 3/9 are 1/3, 12/36, and 15/45.
To find three ratios that are equivalent to 3/9, we need to simplify the given ratio.
Step 1: Determine the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 3 and 9 is 3.
Step 2: Divide both the numerator and denominator by the GCD (3).
3 ÷ 3 = 1
9 ÷ 3 = 3
So, the simplified form of 3/9 is 1/3.
Therefore, the three ratios equivalent to 3/9 are:
1/3, 2/6, 3/9
To find three ratios equivalent to 3/9, we need to simplify the fraction 3/9.
To simplify a fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 3 and 9 is 3.
So, dividing both 3 and 9 by 3, we get the simplified fraction 1/3.
Now, we can find three equivalent ratios by multiplying both the numerator and the denominator of the simplified fraction (1/3) by a non-zero number. Let's go through the options provided and check which ones are equivalent ratios:
1. 1/3, 2/3, 3/3:
These ratios are equivalent because they all have the same denominator as the simplified fraction (1/3), which is 3. However, the numerator values are different, giving us three distinct ratios.
2. 1/3, 12/36, 15/45:
To check if these ratios are equivalent, we need to simplify them. Simplifying 12/36, we divide both the numerator and the denominator by their GCD (which is 12). This gives us 1/3, which is the simplified version of 12/36. Next, simplifying 15/45, we divide both the numerator and the denominator by their GCD (which is 15). This gives us 1/3, which is the simplified version of 15/45. Therefore, these ratios are equivalent to 1/3.
3. 6/9, 12/15, 18/21:
To check if these ratios are equivalent, we need to simplify them. Simplifying 6/9, we divide both the numerator and the denominator by their GCD (which is 3). This gives us 2/3, which is the simplified version of 6/9. Next, simplifying 12/15, we divide both the numerator and the denominator by their GCD (which is 3). This gives us 4/5, which is not equal to 2/3. Therefore, these ratios are not equivalent to 1/3.
4. 5/12, 9/12, 3/12:
To check if these ratios are equivalent, we need to simplify them. Simplifying 5/12, we divide both the numerator and the denominator by their GCD (which is 1). This gives us 5/12, which is already in simplified form. Next, simplifying 9/12, we divide both the numerator and the denominator by their GCD (which is 3). This gives us 3/4, which is not equal to 5/12. Therefore, these ratios are not equivalent to 1/3.
In conclusion, the three ratios equivalent to 3/9 are 1/3, 2/3, and 3/3.