13/99 as a Decimal

Answer

13/99 in decimals can be written as 0.131313. It is a recurring decimal, indicating it will repeat the same digit pattern infinitely.

Explanation

To get 13/99 in decimal, we will use the division method. Since 13 is smaller than 99, we will use the decimal method, which will give us 0.131313. 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 (99) will be taken as the divisor.

Step 2: As 13 is smaller than 99, it can't be divided directly. Here, we will take the help of decimals. Add 0 to the dividend, which will make 13 as 130, and add a decimal point in the quotient place.

Step 3: Now that it is 130, we can divide it by 99. Let's see how many times 99 fits into 130.

Step 4: 130 is not a multiple of 99, so we will look for the nearest number: 99 × 1 = 99. We write 1 in the quotient place and subtract 99 from 130, which gives 31.

Step 5: Bring down another 0 in the dividend place to make 31 as 310 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 13/99 as a decimal will be 0.131313.

• 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 that repeats the same digit or group of digits infinitely.