12/18 as a Decimal

Answer

12/18 in decimals can be simplified first to 2/3, which can be written as 0.66666….. It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 12/18 in decimal, we will use the division method. First, simplify the fraction 12/18 to 2/3. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 12/18 by dividing both the numerator and the denominator by their greatest common divisor, which is 6. This gives us 2/3.

Step 2: Identify the numerator and denominator because the numerator (2) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 3: As 2 is smaller than 3, it can't be divided directly, so we will take the help of decimals. We will add a decimal point and a zero to the dividend, making it 20.

Step 4: Now that it is 20, we can divide it by 3. Let's see how many times 3 fits into 20.

Step 5: 20 is not a multiple of 3, so we will look for the nearest number that is 3 × 6 = 18. We will write 6 in the quotient place, and subtract 18 from 20 gives 2.

Step 6: Bring down another 0 in the dividend place, making it 20, and then repeat the division process. This division process continues, as we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 12/18 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 repeats the same digits infinitely after a certain point.