8/12 as a Decimal

Answer

8/12 in decimals can be written as 0.6666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 8/12 in decimal, we will use the division method. Here as 8 is smaller than 12, we will take help of the decimal method which will give us 0.6666.

Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (12) will be taken as the divisor.

Step 2: As 8 is smaller than 12, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 8 as 80 and add a decimal point in the quotient place.

Step 3: Now that it is 80, we can divide it by 12. Let's see how many times 12 makes 80.

Step 4: 80 is not a multiple of 12, so we will look for the nearest number that is 12 × 6 = 72. We will write 6 in the quotient place and subtract 72 from 80, which gives 8.

Step 5: Bring down another 0 in the dividend place to make 8 as 80 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 8/12 as a decimal will be 0.6666……

• 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 has repeating digits or a repeating sequence of digits after the decimal point.