1 1/11 as a Decimal

Answer

1 1/11 in decimals can be written as 1.0909….. It is a recurring decimal, showing it will repeat the same set of digits infinitely.

Explanation

To get 1 1/11 in decimal, we will first convert the mixed number into an improper fraction, which is 12/11. Then we use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (12) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 2: 12 divided by 11 gives us 1 with a remainder of 1. So, the whole number part is 1.

Step 3: Now, we will continue dividing the remaining fraction part (1/11) using decimals.

Step 4: Add a decimal point to the quotient and a zero to the remainder, making it 10. Divide 10 by 11.

Step 5: 10 is smaller than 11, so we place a 0 in the quotient and bring down another 0 to make it 100.

Step 6: Divide 100 by 11, which gives us 9 (since 11 × 9 = 99), with a remainder of 1.

Step 7: Repeat the steps, bringing down another 0 to make it 10, and the process continues. This process results in a recurring decimal.

The answer for 1 1/11 as a decimal will be 1.0909……

• 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.

• Recurring Decimal: A decimal in which one or more digits repeat infinitely.