Use prime factors to find the LCD for each pair of fractions.
a) 1/4, 1/8
b)1/6, 1/18
Do it the same way I showed you before.
They said it's prime numbers though?
http://www.mathsisfun.com/prime-factorization.html
4 = 2 * 2
8 = 2 * 2 * 2
8 is the LCD
Thank You !
You're welcome.
To find the least common denominator (LCD) for each pair of fractions using prime factors, follow these steps:
a) 1/4, 1/8
Step 1: Find the prime factorization of each denominator.
The prime factorization of 4 is 2 x 2.
The prime factorization of 8 is 2 x 2 x 2.
Step 2: Identify the common prime factors.
From the prime factorizations, we see that both denominators have 2 as a common prime factor.
Step 3: Choose the highest power of each common prime factor.
In this case, the highest power of 2 is 2^3.
Step 4: Multiply the highest powers chosen in step 3.
2^3 = 8.
Therefore, the LCD for 1/4 and 1/8 is 8.
b) 1/6, 1/18
Step 1: Find the prime factorization of each denominator.
The prime factorization of 6 is 2 x 3.
The prime factorization of 18 is 2 x 3 x 3.
Step 2: Identify the common prime factors.
From the prime factorizations, we see that both denominators have 2 and 3 as common prime factors.
Step 3: Choose the highest power of each common prime factor.
The highest power of 2 is 2^1, and the highest power of 3 is 3^2.
Step 4: Multiply the highest powers chosen in step 3.
2^1 x 3^2 = 2 x 9 = 18.
Therefore, the LCD for 1/6 and 1/18 is 18.