Question
Solve the following. A. \( \frac{6}{4} \) OB. \( \frac{6}{8} \) C. \( \frac{10}{4} \)
Ask by Pollard Greene. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
A. \( \frac{6}{4} = \frac{3}{2} = 1.5 \) or **1 ½**
B. \( \frac{6}{8} = \frac{3}{4} = 0.75 \)
C. \( \frac{10}{4} = \frac{5}{2} = 2.5 \) or **2 ½**
Solution
Sure, let's simplify each of the given fractions:
### A. \( \frac{6}{4} \)
**Step 1:** Find the greatest common divisor (GCD) of 6 and 4.
- The divisors of 6 are 1, 2, 3, 6.
- The divisors of 4 are 1, 2, 4.
- The GCD is **2**.
**Step 2:** Divide both the numerator and the denominator by the GCD.
\[
\frac{6 \div 2}{4 \div 2} = \frac{3}{2}
\]
**Simplified Form:** \( \frac{3}{2} \) or **1.5** as a decimal, which is also **1 ½** as a mixed number.
---
### B. \( \frac{6}{8} \)
**Step 1:** Find the greatest common divisor (GCD) of 6 and 8.
- The divisors of 6 are 1, 2, 3, 6.
- The divisors of 8 are 1, 2, 4, 8.
- The GCD is **2**.
**Step 2:** Divide both the numerator and the denominator by the GCD.
\[
\frac{6 \div 2}{8 \div 2} = \frac{3}{4}
\]
**Simplified Form:** \( \frac{3}{4} \) or **0.75** as a decimal.
---
### C. \( \frac{10}{4} \)
**Step 1:** Find the greatest common divisor (GCD) of 10 and 4.
- The divisors of 10 are 1, 2, 5, 10.
- The divisors of 4 are 1, 2, 4.
- The GCD is **2**.
**Step 2:** Divide both the numerator and the denominator by the GCD.
\[
\frac{10 \div 2}{4 \div 2} = \frac{5}{2}
\]
**Simplified Form:** \( \frac{5}{2} \) or **2.5** as a decimal, which is also **2 ½** as a mixed number.
---
**Summary:**
- **A.** \( \frac{6}{4} = \frac{3}{2} = 1.5 \) or **1 ½**
- **B.** \( \frac{6}{8} = \frac{3}{4} = 0.75 \)
- **C.** \( \frac{10}{4} = \frac{5}{2} = 2.5 \) or **2 ½**
If you have any specific requirements for these fractions (like converting to decimals, mixed numbers, or further applications), feel free to let me know!
Reviewed and approved by the UpStudy tutoring team
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Beyond the Answer
First off, let's simplify each of these fractions! A. \( \frac{6}{4} \) simplifies to \( \frac{3}{2} \) or 1.5. B. \( \frac{6}{8} \) can be simplified to \( \frac{3}{4} \) or 0.75. C. \( \frac{10}{4} \) simplifies to \( \frac{5}{2} \) or 2.5. So there you have it! Each fraction has been simplified into its simplest form. Happy calculating!