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….

• 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.