Find the LCD for and it

3/9 and 7/15

45

Step-by-step explanation:

The LCD is the least common denominator.

The least common denominator is the least common multiple of the denominators.

To find the least common multiple of numbers do this:

1. Find the prime factorizations of the numbers.

9 = 3^2

15 = 3 * 5

2. The LCM is the product of the factors that are common and not common with the larger exponent.

Both numbers have 3 as a factor, so 3 is a common factor. Choose the one with the larger exponent. The prime factors include 3 and 3^2. Chose the one with the larger exponent: 3^2.

5 is also a factor. It is not common because only 15 has it, but choose it anyway.

LCM = 3^2 * 5 = 9 * 5 = 45

LCD = 45