I'm trying to find the common denominator for these numbers 5/7 4/9 2/3
Here are multiples of 9
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99
Which of those numbers is also divisible by 7 and 3?
thanks Ms.sue
To find the common denominator for fractions, you need to find the least common multiple (LCM) of the denominators. Follow these steps:
Step 1: List the prime factors of each denominator:
- 7: 7
- 9: 3 * 3
- 3: 3
Step 2: Identify the highest power of each prime factor from the lists:
- 7: one occurrence
- 9: two occurrences
- 3: two occurrences
Step 3: Multiply the highest powers of all the prime factors:
7 * 3 * 3 = 63
Therefore, the common denominator for 5/7, 4/9, and 2/3 is 63.
To find the common denominator for fractions, we need to find the least common multiple (LCM) of the denominators. Here's how you can find the common denominator for the fractions 5/7, 4/9, and 2/3:
1. Find the prime factorization of each denominator:
- The prime factorization of 7 is 7.
- The prime factorization of 9 is 3 x 3.
- The prime factorization of 3 is 3.
2. Take the highest power of each prime number that appears in any of the prime factorizations:
- The highest power of 2 is 2^0 = 1.
- The highest power of 3 is 3^2 = 9.
- The highest power of 7 is 7^1 = 7.
3. Multiply these highest powers together to get the least common multiple (LCM):
LCM = 1 x 9 x 7 = 63.
So, the common denominator for the fractions 5/7, 4/9, and 2/3 is 63.