this is a multiple choice.
To clear the equation (6/x) + 5 = 4/(x − 3) of fractions, multiply each side of the equation by the least common denominator ______.
a) x-3
b) x
c) x^2 -3
d)x(x-3)
c) x^2
I don't see your choice of answer.
hint:
I see two denominators, one is x, the other is x-3,
and neither one is a factor of the other.
e.g. suppose you have 1/4 + 2/7
wouldn't the LCD be 28 ? , how did I get that ?
how about
6/7 + 5 - 4/2
how do you find the LCD of that expression?
Do yours the same way.
my answer is x^2 -3
I got the correct answer: x(x-3). is this answer correct answer
I know that The LCM of a, b is the smallest multiplier that is divisible by both a and b
x(x-3) is correct, but it is x^2 - 3x, not x^2-3
LCM(a,b) is not a*b
LCM(a,b) = a*b / GCD(a,b)
LCM(6,8) is not 48. It is 24, which is 6*8/GCD(6,8) = 6*8/2
LCM = ab if a and b have no common factors, which Reiny sort of mentioned above.
To clear the equation of fractions, we need to find the least common denominator (LCD) of the fractions involved. The LCD is the smallest multiple shared by all the denominators in the equation.
In this case, the equation has two fractions: (6/x) and (4/(x-3)).
To find the LCD, we need to factor the denominators.
The first fraction has a denominator of 'x,' which is already factored.
The second fraction has a denominator of 'x - 3,' which is also already factored.
The LCD is the product of the two denominators, which is x * (x - 3) = x(x-3).
So, to clear the equation of fractions, we need to multiply each side by x(x-3).
Therefore, the answer is option d) x(x-3).