11 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 of a whole. It has two parts: numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 11 2/3 as a decimal?

$11 2/3 as a decimal$

Answer

11 2/3 in decimals can be written as 11.6666….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 11 2/3 into a decimal, we separate 11 and 2/3. 11 is already a whole number. For 2/3, we will use the division method.

Step 1: Identify the numerator and denominator for the fraction part, with the numerator (2) as the dividend and the denominator (3) as the divisor.

Step 2: As 2 is smaller than 3, it can't be divided directly, so we will use decimals. We add 0 to the dividend, making it 20, and add a decimal point in the quotient.

Step 3: Divide 20 by 3. Let's see how many times 3 fits into 20.

Step 4: 20 is not a multiple of 3, so we find the nearest multiple: 3 × 6 = 18. Write 6 in the quotient and subtract 18 from 20 to get 2.

Step 5: Bring down another 0, making it 20 again, and repeat the division process. The division process continues without the remainder reaching 0, making this a recurring decimal. The answer for 2/3 as a decimal is 0.6666……

Therefore, 11 2/3 as a decimal is 11.6666……

Important Glossaries for 11 2/3 as a decimal

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses base ten and includes a decimal point to separate the whole part from the fractional part.
Recurring Decimal: A decimal where one or more digits repeat infinitely.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Dividend: The number that is being divided in a division operation.