16 2/3 as a decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 50 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 3. 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 that to the right represents the fractional part.

What is 16 2/3 as a decimal?

$16 2/3 as a decimal$ 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.

Important Glossaries for 16 2/3 as a decimal

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.