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...

• 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.