Answer:
[tex]x= \frac{2}{3}[/tex]
Step-by-step explanation:
Let the number be x
Given
[tex]\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x[/tex]
Required
Find x
[tex]\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x[/tex]
Collect Like Terms
[tex]\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}[/tex]
Take LCM
[tex]\frac{1 - 4}{6}x = \frac{-1}{3}[/tex]
[tex]\frac{- 3}{6}x = \frac{-1}{3}[/tex]
Multiply both sides by 6
[tex]6 * \frac{- 3}{6}x = \frac{-1}{3} * 6[/tex]
[tex]-3x= -2[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}= \frac{-2}{-3}[/tex]
[tex]x= \frac{2}{3}[/tex]
Hence, the number is [tex]\frac{2}{3}[/tex]
