8 6/11 as a Decimal

Answer

8 6/11 in decimal form can be written as 8.5454…. It is a recurring decimal, indicating it repeats the same sequence of digits infinitely.

Explanation

To convert 8 6/11 into a decimal, we separate the whole number and the fraction. The whole number is already a decimal, 8. Now, let's convert 6/11. We'll use the long division method for this:

Step 1: Identify the numerator and denominator. The numerator (6) is the dividend, and the denominator (11) is the divisor.

Step 2: As 6 is smaller than 11, we use decimals. Add 0 to the dividend, making it 60, and place a decimal point in the quotient.

Step 3: Divide 60 by 11. The quotient is 5, as 11 × 5 = 55. Subtract 55 from 60 to get 5.

Step 4: Bring down another 0 to make it 50, and divide again by 11. The quotient is 4, as 11 × 4 = 44. Subtract 44 from 50 to get 6.

Step 5: Repeat the process. The sequence 54 will repeat indefinitely.

So, the decimal for 6/11 is 0.5454…, and adding the whole number 8 gives us 8.5454….

• Mixed Number: A number consisting of a whole number and a fraction.
   
• Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
   
• 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.
   
• Long Division: A standard procedure suitable for dividing simple or complex multi-digit numbers.