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Last updated on May 26th, 2025

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-1 2/3 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 from the whole. It has two parts: numerator (number on the top) and denominator (number below). For the fraction 2/3, 2 is the numerator, indicating parts of the whole, and 3 is the denominator, showing how many parts make up the whole. 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. Numbers to the left of the decimal point represent the whole part, and those to the right represent the fractional part.

-1 2/3 as a Decimal for Australian Students
Professor Greenline from BrightChamps

What is -1 2/3 as a decimal?

-1 2/3 as a decimal

 

Answer

 

-1 2/3 in decimal can be written as -1.6666… It is a recurring decimal, indicating it will repeat the same digit infinitely.

 

Explanation

 

To convert -1 2/3 into a decimal, we can start by converting the fractional part 2/3 into a decimal. Here's the step-by-step breakdown of the process:

 

Step 1: Identify the numerator and denominator. The numerator (2) will be the dividend, and the denominator (3) will be the divisor.

 

Step 2: As 2 is smaller than 3, it cannot be divided directly. We'll use decimals to aid the division, making 2 as 20 (by adding a decimal point to the quotient).

 

Step 3: Divide 20 by 3. The closest multiple of 3 to 20 is 18 (3 × 6 = 18). Write 6 in the quotient and subtract 18 from 20, leaving a remainder of 2.

 

Step 4: Bring down another 0 to the remainder, making it 20 again, and repeat the division process.

 

Step 5: The division process continues without the remainder reaching 0, resulting in a recurring decimal. The fractional part 2/3 is 0.6666…

 

Thus, -1 2/3 as a decimal is -1.6666…

Professor Greenline from BrightChamps

Important Glossaries for -1 2/3 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.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

 

  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.

 

  • Recurring Decimal: A decimal with digits that repeat infinitely.
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 -1 2/3 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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