3/13 as a Decimal

Answer

3/13 in decimals can be written as approximately 0.230769. It is a repeating decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To get 3/13 in decimal, we will use the division method. Here as 3 is smaller than 13, we will take help of the decimal method, which will give us approximately 0.230769. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (3) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: As 3 is smaller than 13, it can't be divided directly, so we will take the help of decimals. We will add 0 to the dividend, making 3 as 30, and add a decimal point in the quotient place.

Step 3: Now that it is 30, we can divide it by 13. Let's see how many times 13 fits into 30.

Step 4: 30 is not a multiple of 13, so we will look for the nearest number that is 13 × 2 = 26. We will write 2 in the quotient place and subtract 26 from 30, giving 4.

Step 5: Bring down another 0 in the dividend place, making 4 as 40, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a repeating decimal.

The answer for 3/13 as a decimal will be approximately 0.230769...

• 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 one or more repeating digits or sequences of digits after the decimal point.