Question
Find the lowest common denominator (LCD) in the following group of fractions: 10/12 1/3 1/4
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Answer to a math question Find the lowest common denominator (LCD) in the following group of fractions: 10/12 1/3 1/4
Miles
4.9114 Answers
1. Identify the denominators: 12, 3, 4.
2. Find the prime factorizations:
12 = 2^2 \cdot 3
3 = 3^1
4 = 2^2
3. Determine the highest power of each prime number:
- For 2: the highest power is 2^2
- For 3: the highest power is 3^1
4. Multiply these highest powers together:
2^2 \cdot 3^1 = 4 \cdot 3 = 12
5. The lowest common denominator is:
\text{LCD} = 12
Thus, the answer is
\text{LCD} = 12
2. Find the prime factorizations:
3. Determine the highest power of each prime number:
- For 2: the highest power is
- For 3: the highest power is
4. Multiply these highest powers together:
5. The lowest common denominator is:
Thus, the answer is
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