12/13 as a Decimal

Answer

12/13 in decimals can be written as approximately 0.9230769230769231. It is a non-recurring decimal, meaning it has a finite number of decimal places.

Explanation

To get 12/13 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (12) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: 12 divided by 13 is less than 1, so we will add a decimal point to the quotient and proceed with the division.

Step 3: After adding a decimal point, we multiply 12 by 10, making it 120, and then divide by 13. This gives us the beginning of the decimal expansion.

Step 4: Continue the division process, bringing down additional zeros as needed, until a satisfactory level of precision is reached.

The division process shows that 12/13 as a decimal is approximately 0.9230769230769231.

• 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.
   
• Non-recurring Decimal: A decimal that has a finite number of digits and does not repeat infinitely.