16 2/3 as a Decimal

Answer

16 2/3 in decimals can be written as 16.66666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 16 2/3 to a decimal, we will first convert the fractional part, which is 2/3, using the division method. Here as 2 is smaller than 3, we will take help of the decimal method which will give us 0.6666. Let's see the step-by-step breakdown of the process

Step 1: Identify the numerator and denominator because 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, so we will take the help of decimals. We will add 0 to the dividend, which will make 2 as 20 and add a decimal point in the quotient place.

Step 3: Now that it is 20, we can divide it by 3. Let's see how many times 3 makes 20.

Step 4: 20 is not a multiple of 3, so we will look for the nearest number that is 3 × 6 = 18. We will write 6 in the quotient place and subtract 18 from 20, giving us 2.

Step 5: Bring down another 0 in the dividend place and make 2 as 20 and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

Finally, add the whole number part, which is 16, to get the final answer: 16.6666.

• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Recurring Decimal: A decimal fraction that repeats the same digit or group of digits indefinitely.
   
• Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.
   
• Decimal Point: A symbol used to separate the whole number from the fractional part in a decimal.
   
• Dividend: The number being divided in a division problem.