8 6/11 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to understand mixed numbers and decimals. A mixed number combines a whole number and a fraction. The fraction has two parts: the numerator (number on top), here 6, which represents how many parts out of the whole; and the denominator (number below), here 11, which shows how many parts make the whole. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

What is 8 6/11 as a decimal?

$8 6/11 as a decimal$

Answer

8 6/11 in decimal form can be written as 8.5454…. It is a recurring decimal, indicating it repeats the same sequence of digits infinitely.

Explanation

To convert 8 6/11 into a decimal, we separate the whole number and the fraction. The whole number is already a decimal, 8. Now, let's convert 6/11. We'll use the long division method for this:

Step 1: Identify the numerator and denominator. The numerator (6) is the dividend, and the denominator (11) is the divisor.

Step 2: As 6 is smaller than 11, we use decimals. Add 0 to the dividend, making it 60, and place a decimal point in the quotient.

Step 3: Divide 60 by 11. The quotient is 5, as 11 × 5 = 55. Subtract 55 from 60 to get 5.

Step 4: Bring down another 0 to make it 50, and divide again by 11. The quotient is 4, as 11 × 4 = 44. Subtract 44 from 50 to get 6.

Step 5: Repeat the process. The sequence 54 will repeat indefinitely.

So, the decimal for 6/11 is 0.5454…, and adding the whole number 8 gives us 8.5454….

Important Glossaries for 8 6/11 as a decimal

Mixed Number: A number consisting of a whole number and a fraction.
Recurring Decimal: A decimal in which a sequence of digits repeats infinitely.
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.
Long Division: A standard procedure suitable for dividing simple or complex multi-digit numbers.