9/13 as a Decimal

Answer

9/13 in decimals can be written as approximately 0.6923076923. It is a repeating decimal, showing a sequence of digits will repeat indefinitely.

Explanation

To get 9/13 in decimal, we will use the division method. Here as 9 is smaller than 13, we will take help of the decimal method, which will give us approximately 0.6923076923. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend, and the denominator (13) will be taken as the divisor.

Step 2: As 9 is smaller than 13, it can't be divided directly. Here we will take the help of decimals. We will add 0 to the dividend, making 9 as 90 and adding a decimal point in the quotient place.

Step 3: Now that it is 90, we can divide it by 13. Let's see how many times 13 fits into 90.

Step 4: 13 goes into 90 six times, as 13 × 6 = 78. We write 6 in the quotient place and subtract 78 from 90, giving 12.

Step 5: Bring down another 0 in the dividend place to make it 120, and then repeat the division process. The division process continues, and we see a repeating sequence of digits. This process results in a repeating decimal.

The answer for 9/13 as a decimal is approximately 0.6923076923.

• 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.