13/22 as a Decimal

Answer

13/22 in decimals can be written as approximately 0.5909. It is a repeating decimal, showing it will repeat the same sequence infinitely.

Explanation

To convert 13/22 to a decimal, we will use the division method. Here, as 13 is smaller than 22, we will use the decimal method. Let's see the step-by-step breakdown of the process: 

Step 1: Identify the numerator and denominator because the numerator (13) will be taken as the dividend and the denominator (22) will be taken as the divisor. 

Step 2: Since 13 is smaller than 22, it can't be divided directly. We will add a decimal point and 0 to the dividend, making it 130. 

Step 3: Now, we divide 130 by 22. The closest multiple of 22 to 130 is 22 × 5 = 110.

Step 4: Write 5 in the quotient place. Subtract 110 from 130 to get 20. 

Step 5: Bring down another 0, making it 200, and repeat the division process. The closest multiple of 22 to 200 is 22 × 9 = 198. 

Step 6: Write 9 in the quotient place. Subtract 198 from 200 to get 2, and bring down another 0. 

Step 7: Repeat the division process. This process will continue as a repeating decimal.

The answer for 13/22 as a decimal is approximately 0.590909....

• 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.
   
• Repeating Decimal: A decimal that has digits that repeat infinitely after a certain point.