1/26 as a Decimal

Answer

1/26 in decimals can be written as 0.0384615.  It is a recurring decimal, showing it will repeat a sequence of digits infinitely.

Explanation

To get 1/26 in decimal, we will use the division method. Here, as 1 is smaller than 26, we will take help of the decimal method, which will give us 0.0384615. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (1) will be taken as dividend and denominator (26) will be taken as divisor.

Step 2: As 1 is smaller than 26, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we cannot divide it by 26. We will add another 0, making it 100.

Step 4: 100 is not a multiple of 26, so we will find the nearest number that is 26 × 3 = 78. We will write 3 in the quotient place and subtract 78 from 100, giving 22.

Step 5: Bring down another 0 in the dividend place, making 22 as 220, 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 1/26 as a decimal will be 0.0384615.

• 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 in which a sequence of digits repeats infinitely.