3 1/9 as a Decimal

Answer

3 1/9 in decimals can be written as 3.11111….. It is a recurring decimal, indicating it repeats the same digit infinitely.

Explanation

To convert 3 1/9 into a decimal, we first convert the fraction 1/9. Let's see the step-by-step breakdown of this process:

Step 1: Identify the whole number (3) and the fraction (1/9).

Step 2: Convert the fraction 1/9 into a decimal.

Step 3: Use division to convert 1/9. Here, 1 is smaller than 9, so we use the decimal method, giving us 0.1111.

Step 4: Divide 1 by 9. Since 1 is less than 9, we add a decimal point and a zero, making it 10.

Step 5: Divide 10 by 9 to get 1, with a remainder of 1.

Step 6: Bring down another 0, making it 10 again, and repeat the division. This process continues indefinitely, resulting in a recurring decimal.

Finally, add the whole number 3 to the decimal part to get 3.1111…..

• Mixed Number: A number consisting of an integer and a proper fraction.

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

• Whole Number: A number without fractions; an integer.

• Dividend: The number to be divided in a division operation.

• Divisor: The number by which another number is divided.