Question

What is the LCD of 1/m = (m - 34)/(2m^2)?

a. 2m^2
b. m
c. 2m^2 - m + 34
d. 2m^2 - 34

Answer 1

The LCD of the expressions 1/m and (m - 34)/(2m^2) is 2m^2, which is option (a).

Step-by-step explanation:

To find the LCD (Least Common Denominator) of the expression 1/m = (m - 34)/(2m^2), we need to determine the common factors and the highest power of each factor in the denominators.The Least Common Denominator (LCD) of the expressions 1/m and (m - 34)/(2m^2) is the smallest expression that both denominators can divide without leaving a remainder. In this case, the denominators of the given fractions are m and 2m^2. The LCD must be a multiple of both, and since 2m^2 is a multiple of m, it incorporates both denominators. Therefore, the LCD is simply 2m^2, which is option (a).