8/13 as a Decimal

Answer

8/13 in decimals can be written as approximately 0.615384615384... It is a repeating decimal, showing it will repeat the digits infinitely.

Explanation

To get 8/13 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (13) will be taken as the divisor.

Step 2: As 8 is smaller than 13, it can't be divided into a whole number, so we will utilize decimals. Add 0 to the dividend, making it 80, and place a decimal point in the quotient.

Step 3: Divide 80 by 13. 13 goes into 80 six times (13 × 6 = 78). Write 6 in the quotient and subtract 78 from 80 to get 2.

Step 4: Bring down another 0, making it 20. Divide by 13, resulting in 1, as 13 goes into 20 once. Subtract to get 7.

Step 5: Continue bringing down zeros and dividing, following the cycle, which results in the repeating decimal: 0.615384615384... The division process continues, and we observe that the remainder repeats, indicating a repeating decimal.

The answer for 8/13 as a decimal will be approximately 0.615384615384...

• 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 digit or group of digits repeats infinitely.