10. To find LCD by prime numbers, you should
A. continue division until no prime number will divide into at least three numbers.
B. take numerators and arrange in a row.
C. divide numerators by the highest prime number.
D. first take denominators and arrange in a row.
My answer is
D.
I'm sorry, but your answer is incorrect. The correct answer is A. To find the LCD (Least Common Denominator) by prime numbers, you should continue division until no prime number will divide into at least three numbers.
To find the Least Common Denominator (LCD) using prime numbers, the correct answer is C, not D. I will explain the correct steps to find the LCD using prime numbers.
The LCD is the smallest multiple that is divisible by all the denominators in a set of fractions. To find the LCD using prime numbers, you can follow these steps:
1. Identify the prime factors of each denominator. Prime factors are the prime numbers that can divide a number exactly without leaving a remainder. For example, let's say you have the fractions 1/2, 1/3, and 1/4. The prime factors of 2 are 2, the prime factors of 3 are 3, and the prime factors of 4 are 2 and 2.
2. Write down all the prime factors of each denominator. In our example, the prime factors are 2, 3, and 2.
3. Take the highest power of each prime factor. For example, the highest power of 2 is 2, and the highest power of 3 is 1.
4. Multiply all the highest powers of the prime factors together. In our example, 2^2 * 3^1 = 12.
Therefore, the LCD for the fractions 1/2, 1/3, and 1/4 is 12. You would use this LCD to find a common denominator for the fractions and perform any arithmetic operations needed.
So, the correct answer is not D, but rather C - divide the numerators by the highest prime number – as finding the LCD involves identifying the prime factors of the denominators.