6 8/11 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 8, 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 the number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 6 8/11 as a decimal?

$6 8/11 as a decimal$

Answer

6 8/11 in decimals can be written as 6.7272..... It is a recurring decimal, showing it will repeat the sequence of digits infinitely.

Explanation

To convert 6 8/11 into a decimal, we will use the division method for the fractional part 8/11 and add 6 as the whole number part. 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 (11) will be taken as the divisor.

Step 2: Since 8 is smaller than 11, we need to use the decimal method. We add a decimal point to the quotient and add zeros to the dividend, making it 80.

Step 3: Now divide 80 by 11. The nearest multiple of 11 is 7 × 11 = 77. Write 7 in the quotient place.

Step 4: Subtract 77 from 80, which gives a remainder of 3.

Step 5: Bring down another 0 to make it 30. Divide 30 by 11. The nearest multiple is 2 × 11 = 22. Write 2 in the quotient place.

Step 6: Subtract 22 from 30, which gives 8. Bring down another 0 and repeat the division process. The division process continues, and we get a repeating sequence in the decimal part.

The answer for 6 8/11 as a decimal will be 6.7272……

Important Glossaries for 6 8/11 as a decimal

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.
Recurring Decimal: A decimal in which a sequence of one or more digits is repeated infinitely.