Question

What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7?

3

Answer 1

Answer: the answer is 9

Step-by-step explanation: I took the test and its right

Answer 2

9 is the least common denominator for the given equation

Explanation:

Given equation is StartFraction 2 Over 9 EndFraction x + two-thirds x = 7.

It can be written as
`(2)/(9)x+(2)/(3)x=7`

To find the least common denominator for the given equation :

That is to find the Least common Multiple of the denominators.

`(2)/(9)x+(2)/(3)x=7`

`(2x+2x(3))/(9)=7` ( here LCM of 9 and 3 is 9 so we take 9 as LCM )

Therefore 9 is the least common denominator for the given equation