Question
6. Create 3 fraction chains of your own with 5 different equivalent hactions in each. Give the simplest form of the fraction in each chain.
Ask by Brooks Smith.
Feb 05,2025 17:06
UpStudy AI Solution
Tutor-Verified Answer
Answer
Here are three fraction chains, each with five equivalent fractions and their simplest forms:
1. **Chain 1 (Equivalent to 3⁄4):**
- 3⁄4
- 6⁄8
- 9⁄12
- 12⁄16
- 15⁄20
- **Simplest Form:** 3⁄4
2. **Chain 2 (Equivalent to 5⁄9):**
- 5⁄9
- 10⁄18
- 15⁄27
- 20⁄36
- 25⁄45
- **Simplest Form:** 5⁄9
3. **Chain 3 (Equivalent to 2⁄5):**
- 2⁄5
- 4⁄10
- 6⁄15
- 8⁄20
- 10⁄25
- **Simplest Form:** 2⁄5
Solution
Sure! Here are **three fraction chains**, each containing **five different equivalent fractions**. For each chain, I've also provided the **simplest form** of the fraction.
---
### **Chain 1**
All fractions in this chain are equivalent to **3⁄4**.
1. **3⁄4**
2. **6⁄8**
3. **9⁄12**
4. **12⁄16**
5. **15⁄20**
**Simplest Form:** **3⁄4**
---
### **Chain 2**
All fractions in this chain are equivalent to **5⁄9**.
1. **5⁄9**
2. **10⁄18**
3. **15⁄27**
4. **20⁄36**
5. **25⁄45**
**Simplest Form:** **5⁄9**
---
### **Chain 3**
All fractions in this chain are equivalent to **2⁄5**.
1. **2⁄5**
2. **4⁄10**
3. **6⁄15**
4. **8⁄20**
5. **10⁄25**
**Simplest Form:** **2⁄5**
---
Each fraction in a chain is obtained by multiplying both the numerator and the denominator of the simplest form by the same whole number, ensuring that all fractions in the chain are equivalent.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Mind Expander
Sure, let's get creative with fractions!
First Chain:
1/2 = 2/4 = 3/6 = 4/8 = 5/10 (simplest form: 1/2)
Second Chain:
3/5 = 6/10 = 9/15 = 12/20 = 15/25 (simplest form: 3/5)
Third Chain:
4/7 = 8/14 = 12/21 = 16/28 = 20/35 (simplest form: 4/7)
These chains illustrate how different fractions can represent the same value, making math a little more fun and colorful!
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