4/13 as a Decimal

Answer

4/13 in decimals can be written as approximately 0.307692. It is a repeating decimal, showing a repeating sequence of digits.

Explanation

To get 4/13 in decimal, we will use the division method. Here, as 4 is smaller than 13, we will use the decimal method to obtain 0.307692. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: Since 4 is smaller than 13, it can't be divided as is; we will use decimals. We will add 0 to the dividend, which will make 4 as 40 and add a decimal point in the quotient place.

Step 3: Now that it is 40, we can divide it by 13. Let's see how many times 13 fits into 40.

Step 4: 13 goes into 40 three times, as 13 × 3 = 39. We will write 3 in the quotient place and subtract 39 from 40, giving 1.

Step 5: Bring down another 0 in the dividend place, making it 10, and continue the division process. Repeat this process to determine the repeating sequence of the decimal. The division process continues, repeating the sequence "307692" infinitely. This process is called a repeating or recurring decimal.

The answer for 4/13 as a decimal will be approximately 0.307692, with "307692" repeating.

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 sequence of digits repeats infinitely.