1/21 as a Decimal

Answer

1/21 in decimals can be written as 0.047619…. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 1/21 in decimal, we will use the division method. Here, as 1 is smaller than 21, we will take the help of the decimal method, which will give us 0.047619. 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 (21) will be taken as the divisor.

Step 2: As 1 is smaller than 21, 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 can divide it by 21. However, 10 is still smaller than 21, so we add another 0, making it 100.

Step 4: 21 goes into 100 four times (21 × 4 = 84). We write 4 in the quotient place and subtract 84 from 100, giving 16.

Step 5: Bring down another 0 in the dividend place, making it 160, and repeat the division process. This process continues, resulting in a repeating decimal sequence of 047619. This process is called a recurring decimal.

The answer for 1/21 as a decimal is 0.047619….

• 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.