Asked by Loly
Find the LCD for 9/10 and 5/8
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the least common denominator (LCD) for the fractions \( \frac{9}{10} \) and \( \frac{5}{8} \), we need to find the least common multiple (LCM) of the denominators 10 and 8.
1. **Factor the denominators**:
- \( 10 = 2 \times 5 \)
- \( 8 = 2^3 \)
2. **Find the LCM**:
- For the LCM, take the highest power of each prime factor appearing in the factorizations.
- For the prime \( 2 \): the highest power is \( 2^3 \) (from 8).
- For the prime \( 5 \): the highest power is \( 5^1 \) (from 10).
Therefore, the LCM is:
\[
LCM = 2^3 \times 5^1 = 8 \times 5 = 40
\]
Thus, the least common denominator (LCD) for \( \frac{9}{10} \) and \( \frac{5}{8} \) is **40**.
1. **Factor the denominators**:
- \( 10 = 2 \times 5 \)
- \( 8 = 2^3 \)
2. **Find the LCM**:
- For the LCM, take the highest power of each prime factor appearing in the factorizations.
- For the prime \( 2 \): the highest power is \( 2^3 \) (from 8).
- For the prime \( 5 \): the highest power is \( 5^1 \) (from 10).
Therefore, the LCM is:
\[
LCM = 2^3 \times 5^1 = 8 \times 5 = 40
\]
Thus, the least common denominator (LCD) for \( \frac{9}{10} \) and \( \frac{5}{8} \) is **40**.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.