Express the Decimal: Finding All Equivalent Forms of 1.1

Question

1.1= 1.1=

Video Solution

Step-by-Step Solution

To convert the decimal 1.11.1 into a fraction, we will follow these steps:

  • Step 1: Express 1.11.1 as a sum: 1+0.11 + 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 1.11.1 as:

1.1=1+0.11.1 = 1 + 0.1

Step 2: Convert each part to a fraction:
11 can be written as 1010\frac{10}{10}, and 0.1=1100.1 = \frac{1}{10}.

Step 3: Add the fractions:

1010+110=10+110=1110\frac{10}{10} + \frac{1}{10} = \frac{10 + 1}{10} = \frac{11}{10}

Therefore, the decimal 1.11.1 as a fraction is 1110\frac{11}{10}.

Answer

1110 \frac{11}{10}