12/36 as a Decimal

Answer

12/36 in decimals can be written as 0.3333... It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To get 12/36 in decimal, we will use the division method. Since 12 is smaller than 36, we will simplify the fraction first and then convert it to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Simplify the fraction 12/36. The greatest common divisor (GCD) of 12 and 36 is 12. Divide both the numerator and the denominator by 12. This gives us 1/3.

Step 2: Convert the simplified fraction 1/3 to a decimal. Here, as 1 is smaller than 3, we will use the decimal method, which will give us 0.3333...

Step 3: Identify the numerator and denominator because the numerator (1) will be taken as the dividend, and the denominator (3) will be taken as the divisor.

Step 4: As 1 is smaller than 3, it can't be divided. We will add 0 to the dividend, which will make 1 as 10, and add a decimal point in the quotient place.

Step 5: Now that it is 10, we can divide it by 3. Let's see how many times 3 makes 10.

Step 6: 10 is not a multiple of 3, so we will look for the nearest number. That is 3 × 3 = 9. We will write 3 in the quotient place, and subtracting 9 from 10 gives 1.

Step 7: Bring down another 0 in the dividend place, making 1 as 10, and then repeat 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 12/36 as a decimal will be 0.3333...

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses 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.