5/22 as a Decimal

Answer

5/22 in decimals can be written as approximately 0.22727. It is a recurring decimal, indicating that it will repeat the same sequence of digits infinitely.

Explanation

To convert 5/22 to a decimal, we will use the division method. Since 5 is smaller than 22, we will utilize the decimal method, which will give us 0.22727. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend, and the denominator (22) will be taken as the divisor.

Step 2: As 5 is smaller than 22, it can't be divided. Here, we will use decimals. We will add 0 to the dividend, making 5 as 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 22. Let's see how many times 22 fits into 50.

Step 4: 22 × 2 = 44, which is the closest multiple of 22 to 50. We will write 2 in the quotient place and subtract 44 from 50, which gives us 6.

Step 5: Bring down another 0 in the dividend place, making it 60, 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 5/22 as a decimal will be approximately 0.22727.

• 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.