1.111111 as a Fraction

Answer

The answer for 1.111111 as a fraction will be 10/9.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any repeating decimal number should be converted to fraction for easy calculation. Here, 1.111111... is the number. Let's denote x = 1.111111...

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 11.111111...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 11.111111... - 1.111111... 9x = 10 Step 4: Solve for x by dividing both sides by 9: x = 10/9

Thus, 1.111111 can be written as a fraction 10/9.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.