Find 3 ratios that are equivalent to the given ratio. $$ \frac{9}{7} $$ Find three ratios that are equivalent to the given ratio. $$ \begin{array}{ll}\square ext { A. } \frac{27}{28} & \square ext { B. } \frac{18}{14} \ \square ext { C. } \frac{18}{21} & \square ext { D. } \frac{27}{21} \ \square ext { E. } \frac{27}{14} & \square ext { F. } \frac{36}{28} \ \square ext { G. } \frac{18}{28} & \square ext { H. } \frac{36}{21}\end{array} $$

Question

Find 3 ratios that are equivalent to the given ratio. $$ \frac{9}{7} $$ Find three ratios that are equivalent to the given ratio. $$ \begin{array}{ll}\square 	ext { A. } \frac{27}{28} & \square 	ext { B. } \frac{18}{14} \ \square 	ext { C. } \frac{18}{21} & \square 	ext { D. } \frac{27}{21} \ \square 	ext { E. } \frac{27}{14} & \square 	ext { F. } \frac{36}{28} \ \square 	ext { G. } \frac{18}{28} & \square 	ext { H. } \frac{36}{21}\end{array} $$

UpStudy AI · Accepted Answer

To find ratios equivalent to $$ \frac{9}{7} $$, we look for ratios that simplify to $$ \frac{9}{7} $$ by multiplying or dividing both the numerator and the denominator by the same number.

Let's evaluate each option:

1. **Option A: $$ \frac{27}{28} $$**
   - Simplifies to approximately 0.964, which is not equal to $$ \frac{9}{7} $$.

2. **Option B: $$ \frac{18}{14} $$**
   - Simplifies by dividing both numerator and denominator by 2: $$ \frac{18 \div 2}{14 \div 2} = \frac{9}{7} $$.
   - **Equivalent to $$ \frac{9}{7} $$.**

3. **Option C: $$ \frac{18}{21} $$**
   - Simplifies by dividing both numerator and denominator by 3: $$ \frac{18 \div 3}{21 \div 3} = \frac{6}{7} $$.
   - Not equivalent to $$ \frac{9}{7} $$.

4. **Option D: $$ \frac{27}{21} $$**
   - Simplifies by dividing both numerator and denominator by 3: $$ \frac{27 \div 3}{21 \div 3} = \frac{9}{7} $$.
   - **Equivalent to $$ \frac{9}{7} $$.**

5. **Option E: $$ \frac{27}{14} $$**
   - Simplifies to approximately 1.928, which is not equal to $$ \frac{9}{7} $$.

6. **Option F: $$ \frac{36}{28} $$**
   - Simplifies by dividing both numerator and denominator by 4: $$ \frac{36 \div 4}{28 \div 4} = \frac{9}{7} $$.
   - **Equivalent to $$ \frac{9}{7} $$.**

7. **Option G: $$ \frac{18}{28} $$**
   - Simplifies by dividing both numerator and denominator by 2: $$ \frac{18 \div 2}{28 \div 2} = \frac{9}{14} $$.
   - Not equivalent to $$ \frac{9}{7} $$.

8. **Option H: $$ \frac{36}{21} $$**
   - Simplifies by dividing both numerator and denominator by 3: $$ \frac{36 \div 3}{21 \div 3} = \frac{12}{7} $$.
   - Not equivalent to $$ \frac{9}{7} $$.

**Equivalent Ratios:**
- **B. $$ \frac{18}{14} $$**
- **D. $$ \frac{27}{21} $$**
- **F. $$ \frac{36}{28} $$**

These three ratios simplify to $$ \frac{9}{7} $$ and are therefore equivalent.

**Answer:**  
The equivalent ratios are B. 18⁄14, D. 27⁄21, and F. 36⁄28.
The equivalent ratios are B. $$ \frac{18}{14} $$, D. $$ \frac{27}{21} $$, and F. $$ \frac{36}{28} $$.

Find 3 ratios that are equivalent to the given ratio.

Find three ratios that are equivalent to the given ratio.

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