3 1/6 as a Decimal

Answer

3 1/6 in decimals can be written as 3.16666… It is a recurring decimal, indicating that the digit 6 repeats infinitely.

Explanation

To convert 3 1/6 into a decimal, we first convert the fraction 1/6 into a decimal. Let's see the step-by-step breakdown of the process:

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

Step 2: As 1 is smaller than 6, it can't be divided, so we will use the decimal method. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we can divide it by 6. Let's see how many times 6 fits into 10.

Step 4: 10 is not a multiple of 6, so we take the nearest value, which is 6 × 1 = 6. We write 1 in the quotient place and subtract 6 from 10, resulting in 4.

Step 5: Bring down another 0 in the dividend place, making it 40, and continue the division process.

Step 6: 40 divided by 6 gives 6 with a remainder of 4. Repeat the process with another 0, and the pattern continues. So, 1/6 as a decimal is 0.1666…, making the mixed number 3 1/6 equal to 3.1666… as a decimal.

This process is called a recurring decimal.

• Mixed Number: A number consisting of a whole number and a 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 in which one or more digits repeat infinitely.
   
• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.