Find 3 ratios that are equivalent to the given ratio. $$ 8: 9 $$ Find 3 ratios that are equivalent to the given ratio. $$ \begin{array}{ll}\square ext { A. } 32: 36 & \square ext { B. } 24: 18 \ \square ext { C. } 16: 18 & \square ext { D. } 16: 27 \ \square ext { E. } 16: 36 & \square ext { F. } 32: 18 \ \square ext { G. } 24: 36 & \square ext { H. } 24: 27\end{array} $$

Question

Find 3 ratios that are equivalent to the given ratio. $$ 8: 9 $$ Find 3 ratios that are equivalent to the given ratio. $$ \begin{array}{ll}\square 	ext { A. } 32: 36 & \square 	ext { B. } 24: 18 \ \square 	ext { C. } 16: 18 & \square 	ext { D. } 16: 27 \ \square 	ext { E. } 16: 36 & \square 	ext { F. } 32: 18 \ \square 	ext { G. } 24: 36 & \square 	ext { H. } 24: 27\end{array} $$

UpStudy AI · Accepted Answer

To find ratios equivalent to $$ 8:9 $$, we need to identify ratios that simplify to $$ 8:9 $$. Let's examine each option:

1. **Option A: $$ 32:36 $$**
   - Simplify by dividing both numbers by 4:
   - $$ \frac{32}{4} : \frac{36}{4} = 8:9 $$
   - **Equivalent**

2. **Option B: $$ 24:18 $$**
   - Simplify by dividing both numbers by 6:
   - $$ \frac{24}{6} : \frac{18}{6} = 4:3 $$
   - **Not equivalent**

3. **Option C: $$ 16:18 $$**
   - Simplify by dividing both numbers by 2:
   - $$ \frac{16}{2} : \frac{18}{2} = 8:9 $$
   - **Equivalent**

4. **Option D: $$ 16:27 $$**
   - Simplify by finding the greatest common divisor (which is 1):
   - $$ 16:27 $$ remains unchanged.
   - **Not equivalent**

5. **Option E: $$ 16:36 $$**
   - Simplify by dividing both numbers by 4:
   - $$ \frac{16}{4} : \frac{36}{4} = 4:9 $$
   - **Not equivalent**

6. **Option F: $$ 32:18 $$**
   - Simplify by dividing both numbers by 2:
   - $$ \frac{32}{2} : \frac{18}{2} = 16:9 $$
   - **Not equivalent**

7. **Option G: $$ 24:36 $$**
   - Simplify by dividing both numbers by 12:
   - $$ \frac{24}{12} : \frac{36}{12} = 2:3 $$
   - **Not equivalent**

8. **Option H: $$ 24:27 $$**
   - Simplify by dividing both numbers by 3:
   - $$ \frac{24}{3} : \frac{27}{3} = 8:9 $$
   - **Equivalent**

**Equivalent Ratios:**
- **A. $$ 32:36 $$**
- **C. $$ 16:18 $$**
- **H. $$ 24:27 $$**
The equivalent ratios to $$ 8:9 $$ are: - A. $$ 32:36 $$ - C. $$ 16:18 $$ - H. $$ 24:27 $$

Find 3 ratios that are equivalent to the given ratio.

Find 3 ratios that are equivalent to the given ratio.

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Find 3 ratios that are equivalent to the given ratio. Find 3 ratios that are equivalent to the given ratio.