Question

Find the LCD of the fractions, and then simplify the expression. Assume that no denominator equals zero 5/3x^2y - 4/6xy^3

Answer 1

Is this the expression?

\(\large\dfrac{5}{3x^2y} - \dfrac{4}{6xy^3} \)

Answer 2

yes

Answer 3

The LCD is the smallest number or expression that is divisible by both denominators.
You need to take each part of it at a time.
Let's look at the numbers, then the x's then the y's.

What is the smallest number that is divisible by both 3 and 6. In other words, what is the LCM of 3 and 6?

Answer 4

6 I think

Answer 5

Correct. The smallest number that is divisible by both 3 and 6 is 6.
That means the number part we need for the LCD is 6.

Now let's look at the x's.
There is an x^2 and an x.
The lowest expression that will divide both x^2 and x is x^2, so we need x^2 for the LCD.

Now let's look at the y part.
You have y and y^3.
The simplest expression with y that will divide evenly by y and y^3 is y^3, so you need y^3 in the LCD.

Once you put together the number part, the x part and rthe y part, you end up with:
LCD = 6x^2y^3

Answer 6

Thank You very much!!!!

Answer 7

You're welcome.