31/6 as a Decimal

Answer

31/6 in decimals can be written as 5.16666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 31/6 in decimal, we will use the division method. Here, 31 is larger than 6, so we can perform division directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (31) will be taken as dividend and denominator (6) will be taken as divisor.

Step 2: Divide 31 by 6. The whole number part of the quotient is 5, since 6 goes into 31 five times, making 30.

Step 3: Subtract 30 from 31, which gives 1.

Step 4: Bring down a 0 to make it 10, and add a decimal point in the quotient.

Step 5: Divide 10 by 6. It goes once, with a remainder of 4.

Step 6: Bring down another 0 to make it 40, and divide by 6 again. It goes six times, with a remainder of 4.

Step 7: This process repeats, making the decimal 5.16666… The division process continues, and we don't get the remainder as 0; this process is called a recurring decimal.

The answer for 31/6 as a decimal will be 5.1666.

• 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 in which one or more digits repeat infinitely.