To convert the decimal 1.1 into a fraction, we will follow these steps:
- Step 1: Express 1.1 as a sum: 1+0.1.
- Step 2: Convert each part to a fraction.
- Step 3: Simplify and add the fractions.
Now, let's work through each step:
Step 1: Express 1.1 as:
1.1=1+0.1
Step 2: Convert each part to a fraction:
1 can be written as 1010, and 0.1=101.
Step 3: Add the fractions:
1010+101=1010+1=1011
Therefore, the decimal 1.1 as a fraction is 1011.