7) Which of the following are equivalent ratios to 9 to 3 ? Select all that apply or write none. a. $$ 3: 1 $$ b. $$ 15: 5 $$ c. $$ 27: 9 $$ d. $$ 6: 2 $$

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To determine which ratios are equivalent to the ratio $$ 9:3 $$, we can simplify $$ 9:3 $$ first.

The ratio $$ 9:3 $$ can be simplified by dividing both terms by their greatest common divisor, which is 3:

$$
9 \div 3 = 3 \quad \text{and} \quad 3 \div 3 = 1
$$

So, $$ 9:3 $$ simplifies to $$ 3:1 $$.

Now, let's check each of the given options to see if they simplify to $$ 3:1 $$:

a. $$ 3:1 $$  
This is already in the form $$ 3:1 $$. **(Equivalent)**

b. $$ 15:5 $$  
Simplifying $$ 15:5 $$ gives:
$$
15 \div 5 = 3 \quad \text{and} \quad 5 \div 5 = 1
$$
So, $$ 15:5 $$ simplifies to $$ 3:1 $$. **(Equivalent)**

c. $$ 27:9 $$  
Simplifying $$ 27:9 $$ gives:
$$
27 \div 9 = 3 \quad \text{and} \quad 9 \div 9 = 1
$$
So, $$ 27:9 $$ simplifies to $$ 3:1 $$. **(Equivalent)**

d. $$ 6:2 $$  
Simplifying $$ 6:2 $$ gives:
$$
6 \div 2 = 3 \quad \text{and} \quad 2 \div 2 = 1
$$
So, $$ 6:2 $$ simplifies to $$ 3:1 $$. **(Equivalent)**

In conclusion, all options are equivalent to $$ 9:3 $$.

The equivalent ratios are:
- a. $$ 3:1 $$
- b. $$ 15:5 $$
- c. $$ 27:9 $$
- d. $$ 6:2 $$
All options are equivalent to $$ 9:3 $$.

7) Which of the following are equivalent ratios to 9 to 3 ? Select all that apply or write none. a. \( 3: 1 \) b. \( 15: 5 \) c. \( 27: 9 \) d. \( 6: 2 \)

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