We want to solve for x the following equation
[tex]3x=2.7[/tex]To solve this, we can divide both sides by 3. To divide 2.7 by 3, first, let's multiply both numbers by 10.
[tex]\frac{2.7}{3}=\frac{27}{30}[/tex]Now, we can divide both numerator and denominator by 3
[tex]\frac{27}{30}=\frac{27/3}{30/3}=\frac{9}{10}[/tex]Now it is easy. To divide by 10 is the same as "moving" the dot to the left.
[tex]\frac{9}{10}=0.9[/tex]Then
[tex]x=0.9[/tex]