10 8/11 as a Decimal

Answer

10 8/11 in decimals can be written as 10.727272…. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 10 8/11 to a decimal, we will use the division method for the fractional part. The whole number part, 10, remains unchanged. Here's a step-by-step breakdown of the process:

Step 1: Separate the whole number (10) and the fraction (8/11).

Step 2: Convert 8/11 into a decimal by dividing 8 by 11.

Step 3: Since 8 is smaller than 11, the division will start with a decimal point.

Step 4: Bring down zeros and divide to get 72, which is the closest multiple of 11, i.e., 11 × 7 = 77, but since 77 is too large, use 11 × 6 = 66.

Step 5: Subtract 66 from 80 to get 14, bring down another zero to make it 140.

Step 6: Divide 140 by 11 to get 12, resulting in 11 × 12 = 132. Subtract and continue the process.

Step 7: The division process continues as a recurring decimal, 0.727272...

The answer for 10 8/11 as a decimal is 10.727272...

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• 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.
   
• Recurring Decimal: A decimal fraction that repeats a sequence of digits infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.