6 10/11 as a Decimal

Answer

6 10/11 in decimals can be written as approximately 6.90909090… It is a recurring decimal, showing it will repeat the digits '90' infinitely.

Explanation

To get 6 10/11 in decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Separate the whole number and the fraction. Here, the whole number is 6 and the fraction is 10/11.

Step 2: Identify the numerator and denominator because the numerator (10) will be taken as the dividend and the denominator (11) will be taken as the divisor.

Step 3: Perform the division 10 ÷ 11. Since 10 is smaller than 11, we add a decimal point and a zero to the dividend, making it 100.

Step 4: Divide 100 by 11. The result is 9, with a remainder of 1.

Step 5: Bring down another 0 to make it 10 again, and repeat the division process.

Step 6: The division process continues, with the remainder cycling through 1, producing the recurring decimal 0.9090.

The answer for 6 10/11 as a decimal will be approximately 6.90909090.

• 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 a sequence of digits infinitely.