4 2/3 as a Decimal

Answer

4 2/3 in decimals can be written as 4.66666…. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 4 2/3 to a decimal, we first convert the fractional part using the division method. Let's break down the process:

Step 1: Identify the whole number and the fractional part. Here, 4 is the whole number, and 2/3 is the fractional part.

Step 2: Convert the fraction 2/3 into a decimal. The numerator (2) will be the dividend, and the denominator (3) will be the divisor.

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

Step 4: Divide 20 by 3. 3 goes into 20 six times (3 × 6 = 18). Subtract 18 from 20 to get 2.

Step 5: Bring down another 0, making it 20, and repeat the division process. The division process continues, and we do not get the remainder as 0. This process is called a recurring decimal.

Finally, add the decimal part 0.6666… to the whole number 4, resulting in 4.6666…

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
   
• Mixed Number: A number consisting of an integer and a proper fraction.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Dividend: The number that is being divided in a division operation.