6 6/11 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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: numerator (number on the top) here, 6 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 11. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction 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 6/11 as a decimal?

$6 6/11 as a decimal$

Answer

6 6/11 in decimal can be written as 6.545454…. It is a recurring decimal, showing it will repeat the same sequence of digits infinitely.

Explanation

To convert 6 6/11 into a decimal, we will focus on the fractional part 6/11. Here, 6 is the numerator and 11 is the denominator. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (6) will be taken as the dividend and the denominator (11) as the divisor.

Step 2: Divide 6 by 11. Since 6 is smaller than 11, we will add a decimal point and a zero to the dividend, making it 60.

Step 3: 11 goes into 60 five times (11 × 5 = 55). Subtract 55 from 60, which leaves a remainder of 5.

Step 4: Bring down another 0 to make it 50. Divide 50 by 11, which goes 4 times (11 × 4 = 44). Subtract 44 from 50, leaving a remainder of 6.

Step 5: Repeat the process. Bring down another 0 to make it 60, and divide again by 11. The division process continues, and we observe that the digits "54" repeat. This process is called a recurring decimal.

Therefore, the decimal representation of 6 6/11 is 6.545454….