11/13 as a Decimal

Answer

11/13 in decimals can be written as approximately 0.84615. It is a non-recurring, non-terminating decimal because it does not have repeating patterns but continues indefinitely.

Explanation

To get 11/13 in decimal, we will use the division method. Here as 11 is smaller than 13, we will take help of the decimal method which will give us approximately 0.84615. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator; the numerator (11) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: As 11 is smaller than 13, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 11 as 110, and add a decimal point in the quotient place.

Step 3: Now that it is 110, we can divide it by 13. Let's see how many times 13 fits into 110.

Step 4: 110 divided by 13 is approximately 8, because 13 × 8 = 104. We write 8 in the quotient place and subtract 104 from 110, which gives us 6.

Step 5: Bring down another 0 in the dividend place, making it 60, and repeat the division process. The division process continues, and we do not get a remainder of 0, indicating a non-terminating decimal.

The answer for 11/13 as a decimal will be approximately 0.84615.

• 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-terminating Decimal: A decimal that continues indefinitely without terminating.