83 1/3 as a Decimal

Answer

83 1/3 in decimal form is 83.33333… It is a recurring decimal, meaning that it repeats the same digit indefinitely.

Explanation

To convert 83 1/3 into a decimal, we first need to convert the fractional part (1/3) into a decimal. Let's break down the process step by step:

Step 1: Identify the numerator and denominator of the fraction. Here, the numerator (1) is the dividend, and the denominator (3) is the divisor.

Step 2: Because 1 is smaller than 3, we use the decimal method to perform the division, which will yield 0.3333…

Step 3: Convert the whole number part, 83, into a decimal, which remains 83.

Step 4: Combine the whole number part and the fractional decimal part. Add 0.3333… to 83, resulting in 83.3333… The division process for the fraction continues indefinitely, making it a recurring decimal.

• Mixed Number: A number consisting of an integer and a fraction.
   
• Fraction: A numerical quantity 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.
   
• Recurring Decimal: A decimal in which one or more digits repeat infinitely.
   
• Whole Number: A number without fractions; an integer.