We are given the following decimal
![0.12](https://img.qammunity.org/2023/formulas/mathematics/college/ihhc3hyacy9qderi5d9514qanhf7amy95c.png)
We want to convert it into a fraction.
Step 1:
We can write this decimal as
![(0.12)/(1)](https://img.qammunity.org/2023/formulas/mathematics/college/6lp4jiyrd3arbc9luqhy8wsrkxutyao592.png)
Multiply both numerator and denominator by 100
![(0.12)/(1)*(100)/(100)=(12)/(100)](https://img.qammunity.org/2023/formulas/mathematics/college/2sp1e8i3o1xtmqr60g2mbtjg8xevpa0m8u.png)
The decimal point
Step 2:
Now simplify the fraction
![(12)/(100)=(6)/(50)=(3)/(25)](https://img.qammunity.org/2023/formulas/mathematics/college/6dlhw7ytf3c2ukv32kfgm0zmzjciwckifu.png)
We simply divided both numerator and denominator by 2.
Therefore, the decimal 0.12 is written as a fraction 3/25