We want to solve for x the following equation
![3x=2.7](https://img.qammunity.org/2023/formulas/mathematics/college/of4wj6ru54letr25uvfb4sj20y5mlnnq48.png)
To solve this, we can divide both sides by 3. To divide 2.7 by 3, first, let's multiply both numbers by 10.
![(2.7)/(3)=(27)/(30)](https://img.qammunity.org/2023/formulas/mathematics/college/zfh58kls9sq34rbddi3njzzxy3fb5yt6le.png)
Now, we can divide both numerator and denominator by 3
![(27)/(30)=(27/3)/(30/3)=(9)/(10)](https://img.qammunity.org/2023/formulas/mathematics/college/lzx820d5866vwmec1bohqpxzj4kvnqfw1u.png)
Now it is easy. To divide by 10 is the same as "moving" the dot to the left.
![(9)/(10)=0.9](https://img.qammunity.org/2023/formulas/mathematics/college/hcalyw4zj7f2r4hhgjxbbhnnqzc2s148zg.png)
Then
![x=0.9](https://img.qammunity.org/2023/formulas/mathematics/college/ilembkieumsgyqcb9mjxr38pi2pide8bwr.png)