1/6 as a Decimal

Answer

1/6 in decimals can be written as 0.16666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert 1/6 into a decimal, we will use the division method. Since 1 is smaller than 6, we will utilize the decimal method, which will yield 0.16666. Let's see a step-by-step breakdown of the process:

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

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

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 will look for the nearest number. 6 × 1 = 6. We will write 1 in the quotient place and subtract 6 from 10, which gives 4.

Step 5: Bring down another 0 to the dividend to make it 40, and then continue the division process.

Step 6: 6 fits into 40 six times (6 × 6 = 36), leaving a remainder of 4. Continue bringing down zeroes and repeating the division process. The division process continues, and we do not get the remainder as 0. This process is called a recurring decimal.

The answer for 1/6 as a decimal will be 0.16666……

• 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 that repeats the same digit or group of digits infinitely.