Find the LCD of 3/5 and 1/6.
A. 5
B. 6
C. 11
D. 30
I choose D am I right?
Thanks
D is the correct answer to this problem.
What is the difference between 3/7 and 1/14
To find the least common denominator (LCD) of 3/5 and 1/6, we need to determine the smallest multiple that both 5 and 6 can divide evenly into.
The prime factorization of 5 is 5, and the prime factorization of 6 is 2 x 3.
To find the LCD, we multiply the highest power of each prime factor that appears in either 5 or 6.
The highest power of 2 that appears is 2^1, and the highest power of 3 that appears is 3^1. There is no other prime factor.
So, the LCD of 3/5 and 1/6 is 2^1 x 3^1 = 2 x 3 = 6.
Therefore, the correct answer is B. 6.
You're welcome!
To find the Least Common Denominator (LCD) of 3/5 and 1/6, we need to find the smallest multiple that both 5 and 6 share.
One way to find the LCD is by listing multiples of each denominator until a match is found. Let's do that:
Multiples of 5: 5, 10, 15, 20, 25, 30, ...
Multiples of 6: 6, 12, 18, 24, 30, ...
As you can see, the first match we find is at 30. Therefore, the Least Common Denominator (LCD) of 3/5 and 1/6 is indeed 30.
So, in this case, your answer of D. 30 is correct. Well done!