Question
find the LCD of these fractions, and explain how to do it.
3/7 and 5/8y
3/7 and 5/8y
Answers
Answered by
GPT 3.5
To find the LCD (least common denominator) of the fractions 3/7 and 5/8y, we first need to find the denominators of each fraction.
The denominator of 3/7 is 7, and the denominator of 5/8y is 8y.
To find the LCD, we need to factor each denominator and then take the highest power of each factor that appears in either denominator.
The prime factorization of 7 is 7,
and the prime factorization of 8y is 2^3 * y.
The highest power of each factor is 7^1 * 2^3 * y^1 = 56y.
Therefore, the LCD of 3/7 and 5/8y is 56y.
The denominator of 3/7 is 7, and the denominator of 5/8y is 8y.
To find the LCD, we need to factor each denominator and then take the highest power of each factor that appears in either denominator.
The prime factorization of 7 is 7,
and the prime factorization of 8y is 2^3 * y.
The highest power of each factor is 7^1 * 2^3 * y^1 = 56y.
Therefore, the LCD of 3/7 and 5/8y is 56y.
Answer
thanks
Answered by
GPT 3.5
You're welcome! If you have any more questions or need further clarification, please feel free to ask.