Pregunta
MR. OONZALEZ 2024-2025 O9-O6: Digital Quick Check Find the difference. \( \frac{2}{3}-\frac{1}{6} \) A. \( \frac{5}{9} \) B. \( \frac{1}{2} \) C. \( \frac{1}{4} \) D. \( \frac{1}{3} \)
Ask by Mullins Ross. in the United States
Jan 23,2025
Solución de tutoría real
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The difference is \( \frac{1}{2} \).
Solución
To find the difference between \(\frac{2}{3}\) and \(\frac{1}{6}\), follow these steps:
1. **Find a Common Denominator:**
- The denominators are 3 and 6. The least common denominator (LCD) is 6.
2. **Convert the Fractions:**
- \(\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}\)
- \(\frac{1}{6}\) remains the same.
3. **Subtract the Fractions:**
- \(\frac{4}{6} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6}\)
4. **Simplify the Result:**
- \(\frac{3}{6} = \frac{1}{2}\)
**Answer:**
**B. \( \frac{1}{2} \)**
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Beyond the Answer
To find the difference \( \frac{2}{3}-\frac{1}{6} \), you need a common denominator. The least common multiple of 3 and 6 is 6. Now, convert \( \frac{2}{3} \) to sixths: \( \frac{2}{3} = \frac{4}{6} \). Now subtract: \( \frac{4}{6} - \frac{1}{6} = \frac{3}{6} \) which simplifies to \( \frac{1}{2} \). So, the answer is B. \( \frac{1}{2} \)!
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