5 3/11 as a Decimal

Answer

5 3/11 in decimals can be written as 5.2727….. It is a recurring decimal, indicating it will repeat the same sequence infinitely.

Explanation

To convert 5 3/11 into a decimal, we need to separate the whole number and the fractional part. First, convert the fraction 3/11 into a decimal using division. Then, combine this result with the whole number part. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator of the fractional part, where the numerator (3) will be taken as the dividend and the denominator (11) as the divisor.

Step 2: Divide 3 by 11. Since 3 is smaller than 11, we will use the decimal method by adding a decimal point in the quotient and making the dividend 30.

Step 3: Divide 30 by 11, which gives approximately 2 as 11 * 2 = 22. Subtract 22 from 30, which leaves 8.

Step 4: Bring down another 0 in the dividend place to make 80 and continue the division process. Divide 80 by 11, which gives approximately 7 (11 * 7 = 77). Subtract 77 from 80, and you get 3.

Step 5: Repeat the process, bringing down zeros and continuing the division.The process will continue indefinitely, indicating a recurring decimal.

Thus, the fraction 3/11 as a decimal is 0.2727..., and combined with the whole number 5, the final answer is 5.2727...

• 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.
   
• Division Process: A mathematical operation of dividing a number, used to convert fractions to decimals.