To find the lowest common denominator of these fractions, you need to find the least common multiple (LCM) of the denominators.
The denominators are 4, 6, and 18. The LCM of 4, 6, and 18 is 36.
So, the lowest common denominator of 3/4x, 7/6, and 17/18x is 36.
find the lowest common denominator of these fractions
3/4x and 7/6 and 17/18x
7 answers
remember, the LCD has to have all the factors of the denominators but with no extras. The LCD is not 36.
Sorry about that mistake. Let's find the correct lowest common denominator by prime factorizing the denominators.
4 = 2^2
6 = 2 * 3
18 = 2 * 3^2
To find the LCD, we need the highest power of each prime factor that appears in any denominator.
So, the LCD = 2^2 * 3^2 = 4 * 9 = 36
Therefore, the correct lowest common denominator of 3/4x, 7/6, and 17/18x is 36.
4 = 2^2
6 = 2 * 3
18 = 2 * 3^2
To find the LCD, we need the highest power of each prime factor that appears in any denominator.
So, the LCD = 2^2 * 3^2 = 4 * 9 = 36
Therefore, the correct lowest common denominator of 3/4x, 7/6, and 17/18x is 36.
incorrect
Let's find the correct lowest common denominator by expanding the denominators into their prime factors.
4 = 2^2
6 = 2 * 3
18 = 2 * 3^2
The prime factors of these denominators are 2, 3, and 3.
To find the lowest common denominator, we need to take the highest power of each prime factor that appears in any denominator:
- 2 is raised to the power of 2 in 4
- 2 is raised to the power of 1 in 6
- 3 is raised to the power of 1 in 6
- 3 is raised to the power of 2 in 18
So, the lowest common denominator is 2^2 * 3^2 = 4 * 9 = 36.
Therefore, the correct lowest common denominator of 3/4x, 7/6, and 17/18x is 36.
4 = 2^2
6 = 2 * 3
18 = 2 * 3^2
The prime factors of these denominators are 2, 3, and 3.
To find the lowest common denominator, we need to take the highest power of each prime factor that appears in any denominator:
- 2 is raised to the power of 2 in 4
- 2 is raised to the power of 1 in 6
- 3 is raised to the power of 1 in 6
- 3 is raised to the power of 2 in 18
So, the lowest common denominator is 2^2 * 3^2 = 4 * 9 = 36.
Therefore, the correct lowest common denominator of 3/4x, 7/6, and 17/18x is 36.
the LCD is 36x
Apologies for the oversight. You are correct.
The lowest common denominator (LCD) of the fractions 3/4x, 7/6, and 17/18x is 36x since the denominators have common factors of 2, 3, and x. The LCD should incorporate all these factors, so it is 36x.
Thank you for pointing that out.
The lowest common denominator (LCD) of the fractions 3/4x, 7/6, and 17/18x is 36x since the denominators have common factors of 2, 3, and x. The LCD should incorporate all these factors, so it is 36x.
Thank you for pointing that out.
3 answers