6 2/3 as a Decimal

Answer

6 2/3 in decimals can be written as 6.66666… It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get 6 2/3 in decimal, we will first convert the fractional part 2/3 to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. Here, the numerator (2) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: As 2 is smaller than 3, it can't be divided. We will use the decimal method. We add a decimal point and a zero to the dividend to make it 20.

Step 3: Now that it is 20, we can divide it by 3. See how many times 3 makes 20.

Step 4: 20 is not a multiple of 3, so we find the nearest number that is: 3 × 6 = 18. We write 6 in the quotient place, then subtract 18 from 20 to get 2.

Step 5: Bring down another 0 in the dividend place, making it 20 again, and repeat the division process. The division continues, and we don't get a remainder of 0. This process is called a recurring decimal.

Finally, add this result to the whole part (6) to get 6.6666…

• 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 one or more digits repeat infinitely.