Question

Find the least common denominator for these two rational expressions -7/x -5/6x^2

Answer 1

Least Common Denominator is 6
`x^(2)`

Explanation:

In this question we simply find the factors of the denominators first.

Fractions are (-7)/x and (-5)/6
`x^(2)`

Denominators are x and 6
`x^(2)`

Factors of first denominator = x×x

Factors of second denominator = 2×3×x×x

Common factors are x×x

So LCM of these two denominators will be = 2×3×common factors of both

= 2×3×
`x^(2)`

= 6
`x^(2)`

Answer 2

Least common denominator is 6x^2

Explanation:

`(7)/(x)  and (-5)/(6x^2)`

Here we have denominators x and 6x^2

we take the factors for x and 6x^2

x ---> x

6x^2 ----> 3 * 2* x*x

WE have x in common

To get LCD we multiply all the numbers but repeated x only once

LCD is 3*2*x*x that is 6x^2

Least common denominator is 6x^2