Is six true or false? a. $$ \frac{1}{2}=\frac{2}{4}=\frac{3}{6} $$ b. $$ 500 \mathrm{~mm}=50 \mathrm{~cm} $$ c. $$ 500 \mathrm{~mm}=1 \mathrm{~m} $$ d. $$ \frac{1}{2} $$ or $$ \frac{2}{4} $$ or $$ \frac{3}{6} $$ e. $$ \frac{6}{12} $$ is bigger than $$ \frac{2}{4} $$.

Question

UpStudy AI · Accepted Answer

Sure, let's evaluate each statement to determine whether it's **True** or **False**:

---

**a. $$ \frac{1}{2} = \frac{2}{4} = \frac{3}{6} $$**

**Answer:** **True**

**Explanation:**  
All three fractions simplify to $$ \frac{1}{2} $$.

$$
\frac{2}{4} = \frac{1}{2} \quad \text{and} \quad \frac{3}{6} = \frac{1}{2}
$$

---

**b. $$ 500 \ \text{mm} = 50 \ \text{cm} $$**

**Answer:** **True**

**Explanation:**  
Conversion between millimeters and centimeters:
$$
1 \ \text{cm} = 10 \ \text{mm} \quad \Rightarrow \quad 500 \ \text{mm} = \frac{500}{10} \ \text{cm} = 50 \ \text{cm}
$$

---

**c. $$ 500 \ \text{mm} = 1 \ \text{m} $$**

**Answer:** **False**

**Explanation:**  
Conversion between millimeters and meters:
$$
1 \ \text{m} = 1000 \ \text{mm} \quad \Rightarrow \quad 500 \ \text{mm} = 0.5 \ \text{m}
$$
Therefore, $$ 500 \ \text{mm} \neq 1 \ \text{m} $$.

---

**d. $$ \frac{1}{2} $$ or $$ \frac{2}{4} $$ or $$ \frac{3}{6} $$**

**Answer:** **True**

**Explanation:**  
All three fractions are equivalent to $$ \frac{1}{2} $$:
$$
\frac{2}{4} = \frac{1}{2} \quad \text{and} \quad \frac{3}{6} = \frac{1}{2}
$$
So, at least one of them being $$ \frac{1}{2} $$ makes the statement true.

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**e. $$ \frac{6}{12} $$ is bigger than $$ \frac{2}{4} $$**

**Answer:** **False**

**Explanation:**  
Simplifying both fractions:
$$
\frac{6}{12} = \frac{1}{2} \quad \text{and} \quad \frac{2}{4} = \frac{1}{2}
$$
They are equal, so $$ \frac{6}{12} $$ is **not** bigger than $$ \frac{2}{4} $$.

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**Summary:**

- **a. True**
- **b. True**
- **c. False**
- **d. True**
- **e. False**
**a. True** **b. True** **c. False** **d. True** **e. False**

Is six true or false?
a.
b.
c.
d. or or
e. is bigger than .

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