Table Of Contents
120 LearnersLast updated on March 3rd, 2025
2 1/3 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn mixed numbers, fractions, and decimals. A mixed number consists of a whole part and a fractional part. The fraction represents a part of the whole. It has two parts: the 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 decimal point (.) 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 2 1/3 as a decimal?
Answer
2 1/3 in decimals can be written as 2.33333….. It is a recurring decimal, indicating it will repeat the same digit infinitely.
Explanation
To convert 2 1/3 to decimal, we first convert the fraction 1/3 to a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator of the fraction 1/3. Here, 1 is the numerator (dividend), and 3 is the denominator (divisor).
Step 2: Since 1 is smaller than 3, we use the decimal method. We add 0 to the dividend, making it 10, and place a decimal point in the quotient.
Step 3: Divide 10 by 3. Since 10 is not a multiple of 3, we use the nearest multiple, 3 × 3 = 9.
Step 4: Write 3 in the quotient place and subtract 9 from 10, giving us a remainder of 1.
Step 5: Bring down another 0, making it 10, and repeat the division process. The division process continues, and we don't get a remainder of 0. This process is called a recurring decimal.
Finally, add the whole number 2 to the decimal 0.3333… to get 2.3333….
Important Glossaries for 2 1/3 as a decimal
- Mixed Number: A number consisting of a whole number and a fraction.
- Fraction: A numerical quantity 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 in which one or more digits repeat infinitely.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Explore More numbers
Previous to 2 1/3 as a Decimal
