Pregunta
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
Solución de tutoría real
Respuesta verificada por el tutor
Responder
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**
Solución
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!
Revisado y aprobado por el equipo de tutoría de UpStudy
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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!
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