6/13 as a Decimal

Answer

6/13 in decimals can be written as approximately 0.461538. It is a non-terminating, repeating decimal.

Explanation

To get 6/13 in decimal form, we will use the division method. Since 6 is smaller than 13, we will use the decimal method to get approximately 0.461538. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: As 6 is smaller than 13, it can't be divided. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 6 as 60 and add a decimal point in the quotient place.

Step 3: Now that it is 60, we can divide it by 13. Let's see how many times 13 fits into 60.

Step 4: 13 is not a multiple of 60, so we will look for the nearest number that is 13 × 4 = 52. We will write 4 in the quotient place and subtract 52 from 60, which gives 8.

Step 5: Bring down another 0 in the dividend place, making 8 as 80, and then repeat the division process. The division process continues, and we find the repeating pattern 461538 in the decimal.

The answer for 6/13 as a decimal will be approximately 0.461538.

• 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 in which a pattern of one or more digits repeats infinitely.