3/22 as a Decimal

Answer

3/22 in decimals can be written as approximately 0.13636. It is a recurring decimal, showing it will repeat a sequence of digits infinitely.

Explanation

To get 3/22 in decimal, we will use the division method. Here as 3 is smaller than 22, we will take the help of the decimal method, which will give us 0.13636. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because numerator (3) will be taken as the dividend and denominator (22) will be taken as the divisor.

Step 2: As 3 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 3 as 30 and add a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 22. Let's see how many times 22 makes 30.

Step 4: 30 is not a multiple of 22, so we will look for the nearest number that is 22 × 1 = 22. We will write 1 in the quotient place and subtract 22 from 30, which gives 8.

Step 5: Bring down another 0 in the dividend place and make it 80, then repeat the division process. The division process continues, and we don't get the remainder as 0, which makes this process a recurring decimal.

The answer for 3/22 as a decimal will be approximately 0.13636...

• 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 indefinitely.