5 11/12 as a Decimal

Answer

5 11/12 in decimals can be written as 5.91666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 5 11/12 into a decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the mixed number, which consists of a whole number (5) and a fraction (11/12).

Step 2: Convert the fraction 11/12 into a decimal. Here, 11 is the numerator, and 12 is the denominator.

Step 3: Since 11 is smaller than 12, we will use the decimal method by adding a decimal point to the quotient and converting 11 into 110 by adding a zero.

Step 4: Divide 110 by 12. The nearest number to 110 that is a multiple of 12 is 108 (12 × 9).

Step 5: Write 9 in the quotient place and subtract 108 from 110, leaving a remainder of 2.

Step 6: Bring down another 0, making it 20. Divide 20 by 12, which gives 1 with a remainder.

Step 7: This process continues, and we get a recurring decimal for the fraction part, which is approximately 0.91666...

The complete decimal representation of 5 11/12 is 5.91666...

• 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.
   
• Mixed Number: A whole number combined with a fraction.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Division: A mathematical operation where a number is divided by another to find a quotient.