Find the LCD of 3/5 and 1/6.
5
6
11
30
I believe it is 30
prime factors of denominators:
5 = 5 * 1
6 = 2 * 3 * 1
so we need
5 * 2 * 3 * 1 = 30
18/30 and 5/30
To find the least common denominator (LCD) of two fractions, you need to find the least common multiple (LCM) of the denominators.
The prime factorization of 5 is 5.
The prime factorization of 6 is 2 × 3.
To find the LCM, we need to take the highest power of each prime factor that appears in either number. So, the LCM of 5 and 6 is 2 × 3 × 5 = 30.
Therefore, the LCD of 3/5 and 1/6 is 30.
To find the LCD (Least Common Denominator) of two fractions, you need to find the smallest number that both denominators can divide evenly into.
For the fractions 3/5 and 1/6, you can start by listing the multiples of each denominator:
Multiples of 5: 5, 10, 15, 20, 25, 30...
Multiples of 6: 6, 12, 18, 24, 30...
As you can see, the smallest number that both denominators can divide evenly into is 30. Therefore, the LCD of 3/5 and 1/6 is indeed 30.