What is 8 11 as a decimal

General
1

what is 8 11 as a decimal

2

What is 8/11 as a decimal?

Answer: To convert the fraction 8/11 to a decimal, follow these steps:

  1. Understand the Fraction: Here, 8 is the numerator, and 11 is the denominator. When you divide the numerator (8) by the denominator (11), you convert the fraction to a decimal.

  2. Perform Long Division:

    • Divide 8 by 11.

  3. Long Division Steps:

    • 11 goes into 8 zero times, so we write 0.
    • We put a decimal point and add a zero, making it 80.
    • 11 goes into 80 seven times (since 11 * 7 = 77).
    • Subtract 77 from 80, leaving a remainder of 3.
    • Bring down another 0 to make it 30.
    • 11 goes into 30 two times (since 11 * 2 = 22).
    • Subtract 22 from 30, leaving a remainder of 8.
    • This cycle continues with a repeating pattern.

  4. Calculation Results:

    • Begin with 8 ÷ 11 = 0.7272…
    • The decimal repeats itself as 0.727272…, which means it’s a repeating decimal.

Hence, the decimal representation of 8/11 is approximately 0.7272, with 72 repeating indefinitely. We can write this in short notation as 0.\overline{72}.

Summary:

Converting 8/11 to a decimal yields 0.7272, where 72 is the repeating sequence.