1 1/9 as a Decimal
2026-02-28 10:46 Diff

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Last updated on August 5, 2025

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here 1 represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole, here it is 9. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 1 1/9 as a decimal?

Answer

1 1/9 as a decimal is 1.11111..... It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To convert 1 1/9 to a decimal, we will use the division method for the fractional part. First, consider only the fractional part 1/9.

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as dividend and denominator (9) will be taken as divisor.

Step 2: As 1 is smaller than 9, it can't be divided. We will take the help of decimals. Add 0 to the dividend, making it 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, divide it by 9. Let's see how many times 9 fits into 10.

Step 4: 10 is not a multiple of 9, so we will look for the nearest number that is 9 × 1 = 9. Write 1 in the quotient place and subtract 9 from 10 to get 1.

Step 5: Bring down another 0 to the dividend place to make it 10 again and repeat the division process. The division process continues, and we don't get the remainder as 0. This process results in a recurring decimal.

So, 1/9 as a decimal is 0.1111..., and when added to the whole number 1, we get 1.1111...

Important Glossaries for 1 1/9 as a decimal

  • 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 that repeats the same digit or group of digits infinitely.