8/11 as a Decimal

Answer

8/11 in decimals can be written as 0.727272... It is a recurring decimal, showing it will repeat the same digits infinitely.

Explanation

To convert 8/11 to decimal, we will use the division method. Here as 8 is smaller than 11, we will use the decimal method, which will give us 0.727272.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (11) as the divisor.

Step 2: As 8 is smaller than 11, it can't be divided. Here, we will use decimals. We will add 0 to the dividend, making it 80, and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 11. Let's see how many times 11 fits into 80.

Step 4: 11 multiplied by 7 gives us 77, which is the closest multiple of 11 less than 80. We write 7 in the quotient place and subtract 77 from 80, which gives us 3.

Step 5: Bring down another 0 in the dividend place, making it 30, and then repeat the division process. The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

The answer for 8/11 as a decimal will be 0.727272...

• 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 number in which a sequence of digits repeats infinitely.