what is a common denominator for 7/9 and 17/20?
please help as fast as you can
Since 9 and 20 have no common factors it would simply be their product.
To find a common denominator for fractions, you need to determine the least common multiple (LCM) of the denominators. Here's how you can calculate the common denominator for 7/9 and 17/20:
Step 1: Find the prime factorization of each denominator.
The prime factorization of 9 is 3 x 3, and the prime factorization of 20 is 2 x 2 x 5.
Step 2: Identify the highest power of each prime factor.
The highest power of 2 is 2 x 2, and the highest power of 3 is 3 x 3. The highest power of 5 is 5.
Step 3: Multiply the highest powers of each prime factor.
Multiply these highest powers together: 2 x 2 x 3 x 3 x 5 = 180.
Therefore, the least common multiple (LCM) of 9 and 20 is 180. The common denominator for 7/9 and 17/20 is 180.