1/22 as a Decimal

Answer

1/22 in decimals can be written as approximately 0.0454545. It is a recurring decimal, showing it will repeat a sequence of digits infinitely.

Explanation

To get 1/22 in decimal, we will use the division method. Here as 1 is smaller than 22, we will take help of the decimal method which will give us 0.0454545. 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 (22) will be taken as the divisor.

Step 2: As 1 is smaller than 22, 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't divide it by 22. We will add another 0, making it 100.

Step 4: 100 divided by 22 is approximately 4 (since 22 × 4 = 88). We write 4 in the quotient place and subtract 88 from 100, which gives 12.

Step 5: Bring down another 0 in the dividend place to make it 120, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 1/22 as a decimal will be approximately 0.0454545.

• 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.