1/13 as a Decimal

Answer

1/13 in decimals can be written as 0.076923076923….. It is a recurring decimal, indicating it will repeat the same sequence of digits indefinitely.

Explanation

To get 1/13 in decimal form, we will use the division method. Since 1 is smaller than 13, we will use the decimal method, which gives us 0.076923. Let's see the step-by-step breakdown of the process:

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

Step 2: As 1 is smaller than 13, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, making 1 as 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we cannot divide it fully by 13. We add another 0, making it 100.

Step 4: 100 can be divided by 13. The nearest multiple of 13 is 91 (13 × 7), so we write 7 in the quotient place and subtract 91 from 100, giving us 9.

Step 5: Bring down another 0 in the dividend place, making 9 as 90, and continue the division process. The division process continues, and we don't get the remainder as 0. This process results in a recurring decimal.

The answer for 1/13 as a decimal will be 0.076923076923……

• 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.
   
• Recurring Decimal: A decimal number in which a sequence of digits repeats infinitely.
   
• 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.