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Last updated on May 26th, 2025

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87 1/3 as a Decimal

Professor Greenline Explaining Math Concepts

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: numerator (the number on the top) here, 1 represents how many parts out of the whole. The denominator (the number below) shows how many parts make the whole, here it is 3. 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.

87 1/3 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is 87 1/3 as a decimal?

87 1/3 as a decimalAnswer

 

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.

Professor Greenline from BrightChamps

Important Glossaries for 87 1/3 as a decimal

  • 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.
Professor Greenline from BrightChamps

About BrightChamps in Australia

At BrightChamps, math questions are more than just exercises—they’re opportunities to grow and explore! Our mission is to help children across Australia develop important skills, including today’s focus on the 87 1/3 as a Decimal with special attention on decimal conversions—in a fun, lively, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, tracking scores at a local cricket match, or managing their allowance for the latest gadgets, strong math skills give them confidence for daily challenges. Our lessons are interactive and designed to be enjoyable. Since kids in Australia learn in various ways, we customize our teaching to meet their individual styles. From Sydney’s vibrant streets to the beautiful Gold Coast beaches, BrightChamps brings math to life, making it relatable and exciting throughout Australia. Let’s make decimal conversions a fun part of every child’s math journey!
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