How do you find the LCD for these fractions 3/4c & 5/6ct

also is the LCD for 4/15 & 1/9 (45)?

is that 3/(4c) and 5/(6ct) or the way you typed it?

then the LCD = 12ct

for you second question, yes it is 45

3/4c,5/6ct

To find the LCD (Lowest Common Denominator) for the fractions 3/4c and 5/6ct, you need to find the least common multiple (LCM) of the denominators, which in this case are 4c and 6ct.

Step 1: Prime factorize the denominators:
4c = 2 * 2 * c
6ct = 2 * 3 * c * t

Step 2: Identify the highest power of each prime factor:
The highest power of 2 is 2^2.
The highest power of 3 is 3^1.
The highest power of c is c^1.
The highest power of t is t^1.

Step 3: Multiply the highest powers of each prime factor:
2^2 * 3^1 * c^1 * t^1 = 4ct.

Therefore, the LCD for 3/4c and 5/6ct is 4ct.

Regarding the fractions 4/15 and 1/9, the LCD is not 45. To determine the LCD, you need to find the LCM of the denominators, which are 15 and 9.

Step 1: Prime factorize the denominators:
15 = 3 * 5
9 = 3 * 3

Step 2: Identify the highest power of each prime factor:
The highest power of 3 is 3^2.
The highest power of 5 is 5^1.

Step 3: Multiply the highest powers of each prime factor:
3^2 * 5^1 = 45.

Therefore, the LCD for 4/15 and 1/9 is 45.

To find the LCD (Least Common Denominator) for fractions, you need to identify the common factors in the denominators and then determine the smallest number that satisfies the condition for all the denominators.

For the fractions 3/4c and 5/6ct, let's break down the denominators:
- The denominator of 3/4c is 4c.
- The denominator of 5/6ct is 6ct.

To find the LCD, we need to identify the common factors in the denominators, which are:
- "4" is a factor of 4c.
- "2" is a factor of 6 (2 * 3).
- "c" is a factor of 4c.
- "t" is a factor of 6ct.

Now, to determine the smallest number that satisfies these conditions, we take the highest power of each factor:
- We have "2" to the power of 1 (from 2 * 3).
- We have "4" to the power of 1 (from 4c).
- We have "c" to the power of 1 (from 4c).
- We have "t" to the power of 1 (from 6ct).

Combining these factors, the LCD for 3/4c and 5/6ct is 2 * 4 * c * t = 8ct.

Now, regarding the fractions 4/15 and 1/9, you asked if the LCD is 45. To verify this, let's break down the denominators:
- The denominator of 4/15 is 15.
- The denominator of 1/9 is 9.

To find the LCD, we need to identify the common factors in the denominators, which are:
- "3" is a factor of 15.
- "3" is a factor of 9.
- "5" is a factor of 15.

To determine the smallest number that satisfies these conditions, we take the highest power of each factor:
- We have "3" to the power of 1 (from 15).
- We have "5" to the power of 1 (from 15).
- We have "3" to the power of 2 (from 9).

Combining these factors gives us 3 * 5 * 3^2 = 45.

Therefore, the LCD for the fractions 4/15 and 1/9 is indeed 45.