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….

• 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 number that has digits that repeat infinitely.