Question

What is the LCD of and `5/(12b^2)` and `3/(8ab)`?

Answer 1

See a solution process below:

Explanation:

The first denominator can be factored as:

`12b^2 = color(red)(2) * color(red)(2) * 3 * color(red)(b) * b`

The second denominator can be factored as:

`8ab = color(red)(2) * color(red)(2) * 2 * a * color(red)(b)`

Now, we need to multiply each term by what it is missing from the other term:

`12b^2` is missing a `2` and an `a` from the other denominator:

`12b^2 * 2a = 24ab^2`

`8ab` is missing a `3` and a `b` from the other denominator:

`8ab * 3b = 24ab^2`

The LCD is `24ab^2`