how to find the LCD for 11x/yz^2, 8x/y^2z?
I know the answer is yz^2 but how do you get that.
can you plzz plzz explain..... this it is really important..... thnx ...... a lot..
Look at the denominators, and find the individual factors:
11x/(yz^2): y*z^2
8x/(y^2z): y^2*z
The greatest power of y is y^2. The greatest power of z is z^2.
Now multiply the greatest powers to find the LCD.
The LCD should actually be y^2*z^2.
thank you, I really appreciate all you're help and I was thinking the same but the book was confusing me, guess the book is wrong as usuall thanks a lot....
To find the LCD (Least Common Denominator) for the fractions 11x/yz^2 and 8x/y^2z, you need to consider the factors in both denominators.
First, let's break down the denominators into their prime factors:
Denominator 1 (11x/yz^2): The prime factors are y, z, and z.
Denominator 2 (8x/y^2z): The prime factors are y, y, z.
Next, we identify the highest power of each prime factor occurring in both denominators:
y: The highest power is y^2 (from Denominator 2).
z: The highest power is z^2 (from Denominator 1).
Finally, we multiply these highest powers together to obtain the LCD:
LCD = y^2 * z^2 = y^2z^2.
Hence, the LCD for 11x/yz^2 and 8x/y^2z is y^2z^2.
It's important to note that finding the LCD involves identifying common factors and the highest powers of those factors. By doing so, we can ensure that the denominators in both fractions are equivalent, which allows us to combine or compare them.