87 1/3 as a Decimal

Answer

87 1/3 in decimals can be written as 87.3333. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To convert 87 1/3 into a decimal, we will first convert 1/3 into a decimal using the division method and then add it to 87. Here’s the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 87, and the fraction is 1/3.

Step 2: Convert the fraction 1/3 into a decimal using division. Since 1 is smaller than 3, use decimal multiplication to get 0.3333.

Step 3: Add the decimal obtained from the fraction to the whole number: 87 + 0.3333.

Step 4: The division process for 1/3 repeats, and we don't get the remainder as 0, so the process is called a recurring decimal.

Therefore, 87 1/3 as a decimal is 87.3333.

• 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.
   
• Recurring Decimal: A decimal number that has digits that repeat infinitely.
   
• Whole Number: A number without fractions; an integer.
   
• Mixed Number: A number consisting of an integer and a proper fraction.