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

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Answer:

9 is the least common denominator for the given equation

Step-by-step explanation:

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

It can be written as [tex]\frac{2}{9}x+\frac{2}{3}x=7[/tex]

To find the least common denominator for the given equation :

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

[tex]\frac{2}{9}x+\frac{2}{3}x=7[/tex]

[tex]\frac{2x+2x(3)}{9}=7[/tex] ( 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

Answer: the answer is 9

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